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Finding the Fourth Proportional to 577,613.88, 797,107.14 and 322,965

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Solution

The fourth proportional to 577,613.88, 797,107.14 and 322,965 is: 445,691.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,613.88 : 797,107.14 = 322,965 : x
  2. Step 2: Convert to fraction form
    577,613.88/797,107.14 = 322,965/x
  3. Step 3: Cross multiply
    577,613.88x = 797,107.14 × 322,965
  4. Step 4: Simplify right side
    577,613.88x = 257,437,707,470.10
  5. Step 5: Solve for x
    x = 257,437,707,470.10/577,613.88
  6. Step 6: Final answer
    x = 445,691.69

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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.