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Finding the Fourth Proportional to 415,251.36, 572,449.68 and 295,812

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Solution

The fourth proportional to 415,251.36, 572,449.68 and 295,812 is: 407,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,251.36 : 572,449.68 = 295,812 : x
  2. Step 2: Convert to fraction form
    415,251.36/572,449.68 = 295,812/x
  3. Step 3: Cross multiply
    415,251.36x = 572,449.68 × 295,812
  4. Step 4: Simplify right side
    415,251.36x = 169,337,484,740.16
  5. Step 5: Solve for x
    x = 169,337,484,740.16/415,251.36
  6. Step 6: Final answer
    x = 407,795.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.