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Finding the Fourth Proportional to 487,886, 731,073.24 and 338,416.88

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Solution

The fourth proportional to 487,886, 731,073.24 and 338,416.88 is: 507,101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,886 : 731,073.24 = 338,416.88 : x
  2. Step 2: Convert to fraction form
    487,886/731,073.24 = 338,416.88/x
  3. Step 3: Cross multiply
    487,886x = 731,073.24 × 338,416.88
  4. Step 4: Simplify right side
    487,886x = 247,407,524,932.29
  5. Step 5: Solve for x
    x = 247,407,524,932.29/487,886
  6. Step 6: Final answer
    x = 507,101.10

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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.