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Finding the Fourth Proportional to 475,193.88, 655,768.10 and 257,403

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Solution

The fourth proportional to 475,193.88, 655,768.10 and 257,403 is: 355,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,193.88 : 655,768.10 = 257,403 : x
  2. Step 2: Convert to fraction form
    475,193.88/655,768.10 = 257,403/x
  3. Step 3: Cross multiply
    475,193.88x = 655,768.10 × 257,403
  4. Step 4: Simplify right side
    475,193.88x = 168,796,676,244.30
  5. Step 5: Solve for x
    x = 168,796,676,244.30/475,193.88
  6. Step 6: Final answer
    x = 355,216.44

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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.