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Finding the Fourth Proportional to 649,665.22, 974,602.91 and 200,280.94

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Solution

The fourth proportional to 649,665.22, 974,602.91 and 200,280.94 is: 300,453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,665.22 : 974,602.91 = 200,280.94 : x
  2. Step 2: Convert to fraction form
    649,665.22/974,602.91 = 200,280.94/x
  3. Step 3: Cross multiply
    649,665.22x = 974,602.91 × 200,280.94
  4. Step 4: Simplify right side
    649,665.22x = 195,194,386,941.54
  5. Step 5: Solve for x
    x = 195,194,386,941.54/649,665.22
  6. Step 6: Final answer
    x = 300,453.80

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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.