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Finding the Fourth Proportional to 522,718.82, 783,984.54 and 138,470.22

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Solution

The fourth proportional to 522,718.82, 783,984.54 and 138,470.22 is: 207,680.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,718.82 : 783,984.54 = 138,470.22 : x
  2. Step 2: Convert to fraction form
    522,718.82/783,984.54 = 138,470.22/x
  3. Step 3: Cross multiply
    522,718.82x = 783,984.54 × 138,470.22
  4. Step 4: Simplify right side
    522,718.82x = 108,558,511,730.40
  5. Step 5: Solve for x
    x = 108,558,511,730.40/522,718.82
  6. Step 6: Final answer
    x = 207,680.51

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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.