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Finding the Fourth Proportional to 257,462.49, 386,037.41 and 115,280.76

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Solution

The fourth proportional to 257,462.49, 386,037.41 and 115,280.76 is: 172,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,462.49 : 386,037.41 = 115,280.76 : x
  2. Step 2: Convert to fraction form
    257,462.49/386,037.41 = 115,280.76/x
  3. Step 3: Cross multiply
    257,462.49x = 386,037.41 × 115,280.76
  4. Step 4: Simplify right side
    257,462.49x = 44,502,685,436.83
  5. Step 5: Solve for x
    x = 44,502,685,436.83/257,462.49
  6. Step 6: Final answer
    x = 172,851.14

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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.