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Finding the Fourth Proportional to 458,139.83, 687,308.52 and 138,264.96

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Solution

The fourth proportional to 458,139.83, 687,308.52 and 138,264.96 is: 207,427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,139.83 : 687,308.52 = 138,264.96 : x
  2. Step 2: Convert to fraction form
    458,139.83/687,308.52 = 138,264.96/x
  3. Step 3: Cross multiply
    458,139.83x = 687,308.52 × 138,264.96
  4. Step 4: Simplify right side
    458,139.83x = 95,030,681,588.92
  5. Step 5: Solve for x
    x = 95,030,681,588.92/458,139.83
  6. Step 6: Final answer
    x = 207,427.24

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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.