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Finding the Fourth Proportional to 378,725.32, 522,948.00 and 361,601.11

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Solution

The fourth proportional to 378,725.32, 522,948.00 and 361,601.11 is: 499,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,725.32 : 522,948.00 = 361,601.11 : x
  2. Step 2: Convert to fraction form
    378,725.32/522,948.00 = 361,601.11/x
  3. Step 3: Cross multiply
    378,725.32x = 522,948.00 × 361,601.11
  4. Step 4: Simplify right side
    378,725.32x = 189,098,577,247.96
  5. Step 5: Solve for x
    x = 189,098,577,247.96/378,725.32
  6. Step 6: Final answer
    x = 499,302.70

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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.