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Finding the Fourth Proportional to 257,516.73, 386,323.55 and 103,654.48

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Solution

The fourth proportional to 257,516.73, 386,323.55 and 103,654.48 is: 155,501.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,516.73 : 386,323.55 = 103,654.48 : x
  2. Step 2: Convert to fraction form
    257,516.73/386,323.55 = 103,654.48/x
  3. Step 3: Cross multiply
    257,516.73x = 386,323.55 × 103,654.48
  4. Step 4: Simplify right side
    257,516.73x = 40,044,166,687.00
  5. Step 5: Solve for x
    x = 40,044,166,687.00/257,516.73
  6. Step 6: Final answer
    x = 155,501.22

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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.