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Finding the Fourth Proportional to 305,763.64, 458,592.15 and 81,146.78

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Solution

The fourth proportional to 305,763.64, 458,592.15 and 81,146.78 is: 121,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,763.64 : 458,592.15 = 81,146.78 : x
  2. Step 2: Convert to fraction form
    305,763.64/458,592.15 = 81,146.78/x
  3. Step 3: Cross multiply
    305,763.64x = 458,592.15 × 81,146.78
  4. Step 4: Simplify right side
    305,763.64x = 37,213,277,046.52
  5. Step 5: Solve for x
    x = 37,213,277,046.52/305,763.64
  6. Step 6: Final answer
    x = 121,706.02

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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.