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Finding the Fourth Proportional to 399,547.31, 551,392.04 and 229,781.57

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Solution

The fourth proportional to 399,547.31, 551,392.04 and 229,781.57 is: 317,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,547.31 : 551,392.04 = 229,781.57 : x
  2. Step 2: Convert to fraction form
    399,547.31/551,392.04 = 229,781.57/x
  3. Step 3: Cross multiply
    399,547.31x = 551,392.04 × 229,781.57
  4. Step 4: Simplify right side
    399,547.31x = 126,699,726,454.20
  5. Step 5: Solve for x
    x = 126,699,726,454.20/399,547.31
  6. Step 6: Final answer
    x = 317,108.20

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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.