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Finding the Fourth Proportional to 408,714.88, 564,021.12 and 229,866.88

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Solution

The fourth proportional to 408,714.88, 564,021.12 and 229,866.88 is: 317,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,714.88 : 564,021.12 = 229,866.88 : x
  2. Step 2: Convert to fraction form
    408,714.88/564,021.12 = 229,866.88/x
  3. Step 3: Cross multiply
    408,714.88x = 564,021.12 × 229,866.88
  4. Step 4: Simplify right side
    408,714.88x = 129,649,775,108.51
  5. Step 5: Solve for x
    x = 129,649,775,108.51/408,714.88
  6. Step 6: Final answer
    x = 317,213.25

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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.