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Finding the Fourth Proportional to 274,553.28, 411,824.64 and 74,870.40

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Solution

The fourth proportional to 274,553.28, 411,824.64 and 74,870.40 is: 112,304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,553.28 : 411,824.64 = 74,870.40 : x
  2. Step 2: Convert to fraction form
    274,553.28/411,824.64 = 74,870.40/x
  3. Step 3: Cross multiply
    274,553.28x = 411,824.64 × 74,870.40
  4. Step 4: Simplify right side
    274,553.28x = 30,833,475,526.66
  5. Step 5: Solve for x
    x = 30,833,475,526.66/274,553.28
  6. Step 6: Final answer
    x = 112,304.16

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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.