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Finding the Fourth Proportional to 331,705.60, 457,753.85 and 188,465.83

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Solution

The fourth proportional to 331,705.60, 457,753.85 and 188,465.83 is: 260,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,705.60 : 457,753.85 = 188,465.83 : x
  2. Step 2: Convert to fraction form
    331,705.60/457,753.85 = 188,465.83/x
  3. Step 3: Cross multiply
    331,705.60x = 457,753.85 × 188,465.83
  4. Step 4: Simplify right side
    331,705.60x = 86,270,959,275.95
  5. Step 5: Solve for x
    x = 86,270,959,275.95/331,705.60
  6. Step 6: Final answer
    x = 260,082.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.