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Finding the Fourth Proportional to 403,802.80, 557,224.86 and 231,684.28

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Solution

The fourth proportional to 403,802.80, 557,224.86 and 231,684.28 is: 319,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,802.80 : 557,224.86 = 231,684.28 : x
  2. Step 2: Convert to fraction form
    403,802.80/557,224.86 = 231,684.28/x
  3. Step 3: Cross multiply
    403,802.80x = 557,224.86 × 231,684.28
  4. Step 4: Simplify right side
    403,802.80x = 129,100,240,487.20
  5. Step 5: Solve for x
    x = 129,100,240,487.20/403,802.80
  6. Step 6: Final answer
    x = 319,711.11

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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.