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Finding the Fourth Proportional to 649,833.84, 974,393.91 and 200,430

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Solution

The fourth proportional to 649,833.84, 974,393.91 and 200,430 is: 300,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,833.84 : 974,393.91 = 200,430 : x
  2. Step 2: Convert to fraction form
    649,833.84/974,393.91 = 200,430/x
  3. Step 3: Cross multiply
    649,833.84x = 974,393.91 × 200,430
  4. Step 4: Simplify right side
    649,833.84x = 195,297,771,381.30
  5. Step 5: Solve for x
    x = 195,297,771,381.30/649,833.84
  6. Step 6: Final answer
    x = 300,534.94

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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.