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Finding the Fourth Proportional to 305,461.76, 458,008.56 and 136,951.60

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Solution

The fourth proportional to 305,461.76, 458,008.56 and 136,951.60 is: 205,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,461.76 : 458,008.56 = 136,951.60 : x
  2. Step 2: Convert to fraction form
    305,461.76/458,008.56 = 136,951.60/x
  3. Step 3: Cross multiply
    305,461.76x = 458,008.56 × 136,951.60
  4. Step 4: Simplify right side
    305,461.76x = 62,725,005,105.70
  5. Step 5: Solve for x
    x = 62,725,005,105.70/305,461.76
  6. Step 6: Final answer
    x = 205,344.87

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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.