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Finding the Fourth Proportional to 497,411.68, 686,425.96 and 271,057.20

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Solution

The fourth proportional to 497,411.68, 686,425.96 and 271,057.20 is: 374,057.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,411.68 : 686,425.96 = 271,057.20 : x
  2. Step 2: Convert to fraction form
    497,411.68/686,425.96 = 271,057.20/x
  3. Step 3: Cross multiply
    497,411.68x = 686,425.96 × 271,057.20
  4. Step 4: Simplify right side
    497,411.68x = 186,060,698,724.91
  5. Step 5: Solve for x
    x = 186,060,698,724.91/497,411.68
  6. Step 6: Final answer
    x = 374,057.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.