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Finding the Fourth Proportional to 458,276.40, 687,511.80 and 138,439.80

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Solution

The fourth proportional to 458,276.40, 687,511.80 and 138,439.80 is: 207,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,276.40 : 687,511.80 = 138,439.80 : x
  2. Step 2: Convert to fraction form
    458,276.40/687,511.80 = 138,439.80/x
  3. Step 3: Cross multiply
    458,276.40x = 687,511.80 × 138,439.80
  4. Step 4: Simplify right side
    458,276.40x = 95,178,996,089.64
  5. Step 5: Solve for x
    x = 95,178,996,089.64/458,276.40
  6. Step 6: Final answer
    x = 207,689.06

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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.