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Finding the Fourth Proportional to 522,932.80, 784,308.92 and 138,684.32

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Solution

The fourth proportional to 522,932.80, 784,308.92 and 138,684.32 is: 208,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,932.80 : 784,308.92 = 138,684.32 : x
  2. Step 2: Convert to fraction form
    522,932.80/784,308.92 = 138,684.32/x
  3. Step 3: Cross multiply
    522,932.80x = 784,308.92 × 138,684.32
  4. Step 4: Simplify right side
    522,932.80x = 108,771,349,240.13
  5. Step 5: Solve for x
    x = 108,771,349,240.13/522,932.80
  6. Step 6: Final answer
    x = 208,002.54

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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.