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Finding the Fourth Proportional to 274,326.20, 411,294.90 and 105,781.40

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Solution

The fourth proportional to 274,326.20, 411,294.90 and 105,781.40 is: 158,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,326.20 : 411,294.90 = 105,781.40 : x
  2. Step 2: Convert to fraction form
    274,326.20/411,294.90 = 105,781.40/x
  3. Step 3: Cross multiply
    274,326.20x = 411,294.90 × 105,781.40
  4. Step 4: Simplify right side
    274,326.20x = 43,507,350,334.86
  5. Step 5: Solve for x
    x = 43,507,350,334.86/274,326.20
  6. Step 6: Final answer
    x = 158,597.14

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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.