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Finding the Fourth Proportional to 458,141.32, 687,310.76 and 138,266.46

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Solution

The fourth proportional to 458,141.32, 687,310.76 and 138,266.46 is: 207,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,141.32 : 687,310.76 = 138,266.46 : x
  2. Step 2: Convert to fraction form
    458,141.32/687,310.76 = 138,266.46/x
  3. Step 3: Cross multiply
    458,141.32x = 687,310.76 × 138,266.46
  4. Step 4: Simplify right side
    458,141.32x = 95,032,025,705.11
  5. Step 5: Solve for x
    x = 95,032,025,705.11/458,141.32
  6. Step 6: Final answer
    x = 207,429.50

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1.5x scale

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.