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Finding the Fourth Proportional to 458,210.87, 687,415.17 and 138,336.20

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Solution

The fourth proportional to 458,210.87, 687,415.17 and 138,336.20 is: 207,534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,210.87 : 687,415.17 = 138,336.20 : x
  2. Step 2: Convert to fraction form
    458,210.87/687,415.17 = 138,336.20/x
  3. Step 3: Cross multiply
    458,210.87x = 687,415.17 × 138,336.20
  4. Step 4: Simplify right side
    458,210.87x = 95,094,402,440.15
  5. Step 5: Solve for x
    x = 95,094,402,440.15/458,210.87
  6. Step 6: Final answer
    x = 207,534.15

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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.