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Finding the Fourth Proportional to 522,959.80, 784,345.50 and 138,711.40

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Solution

The fourth proportional to 522,959.80, 784,345.50 and 138,711.40 is: 208,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,959.80 : 784,345.50 = 138,711.40 : x
  2. Step 2: Convert to fraction form
    522,959.80/784,345.50 = 138,711.40/x
  3. Step 3: Cross multiply
    522,959.80x = 784,345.50 × 138,711.40
  4. Step 4: Simplify right side
    522,959.80x = 108,797,662,388.70
  5. Step 5: Solve for x
    x = 108,797,662,388.70/522,959.80
  6. Step 6: Final answer
    x = 208,042.11

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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.