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Finding the Fourth Proportional to 475,193.72, 655,761.87 and 257,398.25

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Solution

The fourth proportional to 475,193.72, 655,761.87 and 257,398.25 is: 355,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,193.72 : 655,761.87 = 257,398.25 : x
  2. Step 2: Convert to fraction form
    475,193.72/655,761.87 = 257,398.25/x
  3. Step 3: Cross multiply
    475,193.72x = 655,761.87 × 257,398.25
  4. Step 4: Simplify right side
    475,193.72x = 168,791,954,475.92
  5. Step 5: Solve for x
    x = 168,791,954,475.92/475,193.72
  6. Step 6: Final answer
    x = 355,206.62

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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.