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Finding the Fourth Proportional to 399,287.76, 550,993.50 and 229,522.08

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Solution

The fourth proportional to 399,287.76, 550,993.50 and 229,522.08 is: 316,726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,287.76 : 550,993.50 = 229,522.08 : x
  2. Step 2: Convert to fraction form
    399,287.76/550,993.50 = 229,522.08/x
  3. Step 3: Cross multiply
    399,287.76x = 550,993.50 × 229,522.08
  4. Step 4: Simplify right side
    399,287.76x = 126,465,174,186.48
  5. Step 5: Solve for x
    x = 126,465,174,186.48/399,287.76
  6. Step 6: Final answer
    x = 316,726.90

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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.