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Finding the Fourth Proportional to 475,013.43, 655,518.96 and 257,221.44

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Solution

The fourth proportional to 475,013.43, 655,518.96 and 257,221.44 is: 354,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,013.43 : 655,518.96 = 257,221.44 : x
  2. Step 2: Convert to fraction form
    475,013.43/655,518.96 = 257,221.44/x
  3. Step 3: Cross multiply
    475,013.43x = 655,518.96 × 257,221.44
  4. Step 4: Simplify right side
    475,013.43x = 168,613,530,838.50
  5. Step 5: Solve for x
    x = 168,613,530,838.50/475,013.43
  6. Step 6: Final answer
    x = 354,965.82

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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.