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Finding the Fourth Proportional to 475,193.70, 655,761.82 and 257,398.26

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Solution

The fourth proportional to 475,193.70, 655,761.82 and 257,398.26 is: 355,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,193.70 : 655,761.82 = 257,398.26 : x
  2. Step 2: Convert to fraction form
    475,193.70/655,761.82 = 257,398.26/x
  3. Step 3: Cross multiply
    475,193.70x = 655,761.82 × 257,398.26
  4. Step 4: Simplify right side
    475,193.70x = 168,791,951,442.43
  5. Step 5: Solve for x
    x = 168,791,951,442.43/475,193.70
  6. Step 6: Final answer
    x = 355,206.63

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1.5x scale

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.