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Finding the Fourth Proportional to 709,691.72, 979,340.10 and 403,739.24

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Solution

The fourth proportional to 709,691.72, 979,340.10 and 403,739.24 is: 557,140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,691.72 : 979,340.10 = 403,739.24 : x
  2. Step 2: Convert to fraction form
    709,691.72/979,340.10 = 403,739.24/x
  3. Step 3: Cross multiply
    709,691.72x = 979,340.10 × 403,739.24
  4. Step 4: Simplify right side
    709,691.72x = 395,398,027,675.52
  5. Step 5: Solve for x
    x = 395,398,027,675.52/709,691.72
  6. Step 6: Final answer
    x = 557,140.54

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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.