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Finding the Fourth Proportional to 649,549.80, 974,324.70 and 200,230.65

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Solution

The fourth proportional to 649,549.80, 974,324.70 and 200,230.65 is: 300,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,549.80 : 974,324.70 = 200,230.65 : x
  2. Step 2: Convert to fraction form
    649,549.80/974,324.70 = 200,230.65/x
  3. Step 3: Cross multiply
    649,549.80x = 974,324.70 × 200,230.65
  4. Step 4: Simplify right side
    649,549.80x = 195,089,667,992.06
  5. Step 5: Solve for x
    x = 195,089,667,992.06/649,549.80
  6. Step 6: Final answer
    x = 300,345.98

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.