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Finding the Fourth Proportional to 408,713.31, 563,959.40 and 229,830.75

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Solution

The fourth proportional to 408,713.31, 563,959.40 and 229,830.75 is: 317,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,713.31 : 563,959.40 = 229,830.75 : x
  2. Step 2: Convert to fraction form
    408,713.31/563,959.40 = 229,830.75/x
  3. Step 3: Cross multiply
    408,713.31x = 563,959.40 × 229,830.75
  4. Step 4: Simplify right side
    408,713.31x = 129,615,210,722.40
  5. Step 5: Solve for x
    x = 129,615,210,722.40/408,713.31
  6. Step 6: Final answer
    x = 317,129.90

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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.