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Finding the Fourth Proportional to 522,930.80, 784,305.92 and 138,682.32

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Solution

The fourth proportional to 522,930.80, 784,305.92 and 138,682.32 is: 207,999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,930.80 : 784,305.92 = 138,682.32 : x
  2. Step 2: Convert to fraction form
    522,930.80/784,305.92 = 138,682.32/x
  3. Step 3: Cross multiply
    522,930.80x = 784,305.92 × 138,682.32
  4. Step 4: Simplify right side
    522,930.80x = 108,769,364,575.33
  5. Step 5: Solve for x
    x = 108,769,364,575.33/522,930.80
  6. Step 6: Final answer
    x = 207,999.54

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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.