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Finding the Fourth Proportional to 676,660, 1,014,672.18 and 392,431.40

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Solution

The fourth proportional to 676,660, 1,014,672.18 and 392,431.40 is: 588,462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,660 : 1,014,672.18 = 392,431.40 : x
  2. Step 2: Convert to fraction form
    676,660/1,014,672.18 = 392,431.40/x
  3. Step 3: Cross multiply
    676,660x = 1,014,672.18 × 392,431.40
  4. Step 4: Simplify right side
    676,660x = 398,189,224,138.45
  5. Step 5: Solve for x
    x = 398,189,224,138.45/676,660
  6. Step 6: Final answer
    x = 588,462.78

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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.