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Finding the Fourth Proportional to 305,100, 457,332.27 and 102,545.73

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Solution

The fourth proportional to 305,100, 457,332.27 and 102,545.73 is: 153,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,100 : 457,332.27 = 102,545.73 : x
  2. Step 2: Convert to fraction form
    305,100/457,332.27 = 102,545.73/x
  3. Step 3: Cross multiply
    305,100x = 457,332.27 × 102,545.73
  4. Step 4: Simplify right side
    305,100x = 46,897,471,479.71
  5. Step 5: Solve for x
    x = 46,897,471,479.71/305,100
  6. Step 6: Final answer
    x = 153,711.80

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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.