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Finding the Fourth Proportional to 497,471.18, 686,621.04 and 316,147.76

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Solution

The fourth proportional to 497,471.18, 686,621.04 and 316,147.76 is: 436,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,471.18 : 686,621.04 = 316,147.76 : x
  2. Step 2: Convert to fraction form
    497,471.18/686,621.04 = 316,147.76/x
  3. Step 3: Cross multiply
    497,471.18x = 686,621.04 × 316,147.76
  4. Step 4: Simplify right side
    497,471.18x = 217,073,703,764.87
  5. Step 5: Solve for x
    x = 217,073,703,764.87/497,471.18
  6. Step 6: Final answer
    x = 436,354.33

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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.