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Finding the Fourth Proportional to 305,862.80, 458,794.20 and 81,257.90

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Solution

The fourth proportional to 305,862.80, 458,794.20 and 81,257.90 is: 121,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,862.80 : 458,794.20 = 81,257.90 : x
  2. Step 2: Convert to fraction form
    305,862.80/458,794.20 = 81,257.90/x
  3. Step 3: Cross multiply
    305,862.80x = 458,794.20 × 81,257.90
  4. Step 4: Simplify right side
    305,862.80x = 37,280,653,224.18
  5. Step 5: Solve for x
    x = 37,280,653,224.18/305,862.80
  6. Step 6: Final answer
    x = 121,886.85

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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.