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Finding the Fourth Proportional to 257,446.72, 386,222.10 and 88,973.20

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Solution

The fourth proportional to 257,446.72, 386,222.10 and 88,973.20 is: 133,477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,446.72 : 386,222.10 = 88,973.20 : x
  2. Step 2: Convert to fraction form
    257,446.72/386,222.10 = 88,973.20/x
  3. Step 3: Cross multiply
    257,446.72x = 386,222.10 × 88,973.20
  4. Step 4: Simplify right side
    257,446.72x = 34,363,416,147.72
  5. Step 5: Solve for x
    x = 34,363,416,147.72/257,446.72
  6. Step 6: Final answer
    x = 133,477.78

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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.