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Finding the Fourth Proportional to 304,805.16, 457,229.61 and 105,122.61

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Solution

The fourth proportional to 304,805.16, 457,229.61 and 105,122.61 is: 157,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,805.16 : 457,229.61 = 105,122.61 : x
  2. Step 2: Convert to fraction form
    304,805.16/457,229.61 = 105,122.61/x
  3. Step 3: Cross multiply
    304,805.16x = 457,229.61 × 105,122.61
  4. Step 4: Simplify right side
    304,805.16x = 48,065,169,972.48
  5. Step 5: Solve for x
    x = 48,065,169,972.48/304,805.16
  6. Step 6: Final answer
    x = 157,691.46

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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.