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Finding the Fourth Proportional to 227,151.20, 340,726.80 and 205,032.80

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Solution

The fourth proportional to 227,151.20, 340,726.80 and 205,032.80 is: 307,549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,151.20 : 340,726.80 = 205,032.80 : x
  2. Step 2: Convert to fraction form
    227,151.20/340,726.80 = 205,032.80/x
  3. Step 3: Cross multiply
    227,151.20x = 340,726.80 × 205,032.80
  4. Step 4: Simplify right side
    227,151.20x = 69,860,169,839.04
  5. Step 5: Solve for x
    x = 69,860,169,839.04/227,151.20
  6. Step 6: Final answer
    x = 307,549.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.