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Finding the Fourth Proportional to 458,599.10, 687,995.85 and 138,724.70

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Solution

The fourth proportional to 458,599.10, 687,995.85 and 138,724.70 is: 208,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,599.10 : 687,995.85 = 138,724.70 : x
  2. Step 2: Convert to fraction form
    458,599.10/687,995.85 = 138,724.70/x
  3. Step 3: Cross multiply
    458,599.10x = 687,995.85 × 138,724.70
  4. Step 4: Simplify right side
    458,599.10x = 95,442,017,892.50
  5. Step 5: Solve for x
    x = 95,442,017,892.50/458,599.10
  6. Step 6: Final answer
    x = 208,116.45

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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.