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Finding the Fourth Proportional to 305,661.60, 458,557.92 and 92,411.28

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Solution

The fourth proportional to 305,661.60, 458,557.92 and 92,411.28 is: 138,636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,661.60 : 458,557.92 = 92,411.28 : x
  2. Step 2: Convert to fraction form
    305,661.60/458,557.92 = 92,411.28/x
  3. Step 3: Cross multiply
    305,661.60x = 458,557.92 × 92,411.28
  4. Step 4: Simplify right side
    305,661.60x = 42,375,924,341.34
  5. Step 5: Solve for x
    x = 42,375,924,341.34/305,661.60
  6. Step 6: Final answer
    x = 138,636.73

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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.