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Finding the Fourth Proportional to 257,517.74, 386,325.05 and 103,655.48

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Solution

The fourth proportional to 257,517.74, 386,325.05 and 103,655.48 is: 155,502.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,517.74 : 386,325.05 = 103,655.48 : x
  2. Step 2: Convert to fraction form
    257,517.74/386,325.05 = 103,655.48/x
  3. Step 3: Cross multiply
    257,517.74x = 386,325.05 × 103,655.48
  4. Step 4: Simplify right side
    257,517.74x = 40,044,706,043.87
  5. Step 5: Solve for x
    x = 40,044,706,043.87/257,517.74
  6. Step 6: Final answer
    x = 155,502.71

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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.