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Finding the Fourth Proportional to 308,061.52, 461,040.90 and 258,197.92

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Solution

The fourth proportional to 308,061.52, 461,040.90 and 258,197.92 is: 386,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,061.52 : 461,040.90 = 258,197.92 : x
  2. Step 2: Convert to fraction form
    308,061.52/461,040.90 = 258,197.92/x
  3. Step 3: Cross multiply
    308,061.52x = 461,040.90 × 258,197.92
  4. Step 4: Simplify right side
    308,061.52x = 119,039,801,414.93
  5. Step 5: Solve for x
    x = 119,039,801,414.93/308,061.52
  6. Step 6: Final answer
    x = 386,415.68

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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.