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Finding the Fourth Proportional to 782,714.10, 1,079,668.04 and 517,498.82

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Solution

The fourth proportional to 782,714.10, 1,079,668.04 and 517,498.82 is: 713,832.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,714.10 : 1,079,668.04 = 517,498.82 : x
  2. Step 2: Convert to fraction form
    782,714.10/1,079,668.04 = 517,498.82/x
  3. Step 3: Cross multiply
    782,714.10x = 1,079,668.04 × 517,498.82
  4. Step 4: Simplify right side
    782,714.10x = 558,726,928,705.88
  5. Step 5: Solve for x
    x = 558,726,928,705.88/782,714.10
  6. Step 6: Final answer
    x = 713,832.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.