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Finding the Fourth Proportional to 403,797.30, 557,217.27 and 231,678.78

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Solution

The fourth proportional to 403,797.30, 557,217.27 and 231,678.78 is: 319,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,797.30 : 557,217.27 = 231,678.78 : x
  2. Step 2: Convert to fraction form
    403,797.30/557,217.27 = 231,678.78/x
  3. Step 3: Cross multiply
    403,797.30x = 557,217.27 × 231,678.78
  4. Step 4: Simplify right side
    403,797.30x = 129,095,417,308.53
  5. Step 5: Solve for x
    x = 129,095,417,308.53/403,797.30
  6. Step 6: Final answer
    x = 319,703.52

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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.