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Finding the Fourth Proportional to 474,978.38, 655,471.16 and 257,189.43

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Solution

The fourth proportional to 474,978.38, 655,471.16 and 257,189.43 is: 354,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,978.38 : 655,471.16 = 257,189.43 : x
  2. Step 2: Convert to fraction form
    474,978.38/655,471.16 = 257,189.43/x
  3. Step 3: Cross multiply
    474,978.38x = 655,471.16 × 257,189.43
  4. Step 4: Simplify right side
    474,978.38x = 168,580,253,194.69
  5. Step 5: Solve for x
    x = 168,580,253,194.69/474,978.38
  6. Step 6: Final answer
    x = 354,921.95

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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.