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Finding the Fourth Proportional to 522,854.08, 784,186.74 and 138,605.47

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Solution

The fourth proportional to 522,854.08, 784,186.74 and 138,605.47 is: 207,883.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,854.08 : 784,186.74 = 138,605.47 : x
  2. Step 2: Convert to fraction form
    522,854.08/784,186.74 = 138,605.47/x
  3. Step 3: Cross multiply
    522,854.08x = 784,186.74 × 138,605.47
  4. Step 4: Simplify right side
    522,854.08x = 108,692,569,705.00
  5. Step 5: Solve for x
    x = 108,692,569,705.00/522,854.08
  6. Step 6: Final answer
    x = 207,883.18

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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.