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Finding the Fourth Proportional to 407,132.71, 610,740.98 and 140,892.80

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Solution

The fourth proportional to 407,132.71, 610,740.98 and 140,892.80 is: 211,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,132.71 : 610,740.98 = 140,892.80 : x
  2. Step 2: Convert to fraction form
    407,132.71/610,740.98 = 140,892.80/x
  3. Step 3: Cross multiply
    407,132.71x = 610,740.98 × 140,892.80
  4. Step 4: Simplify right side
    407,132.71x = 86,049,002,988.78
  5. Step 5: Solve for x
    x = 86,049,002,988.78/407,132.71
  6. Step 6: Final answer
    x = 211,353.70

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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.