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Finding the Fourth Proportional to 257,475.84, 386,149.12 and 122,456.59

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Solution

The fourth proportional to 257,475.84, 386,149.12 and 122,456.59 is: 183,654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,475.84 : 386,149.12 = 122,456.59 : x
  2. Step 2: Convert to fraction form
    257,475.84/386,149.12 = 122,456.59/x
  3. Step 3: Cross multiply
    257,475.84x = 386,149.12 × 122,456.59
  4. Step 4: Simplify right side
    257,475.84x = 47,286,504,466.70
  5. Step 5: Solve for x
    x = 47,286,504,466.70/257,475.84
  6. Step 6: Final answer
    x = 183,654.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.