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Finding the Fourth Proportional to 274,265.80, 411,439.74 and 87,319.24

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Solution

The fourth proportional to 274,265.80, 411,439.74 and 87,319.24 is: 130,991.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,265.80 : 411,439.74 = 87,319.24 : x
  2. Step 2: Convert to fraction form
    274,265.80/411,439.74 = 87,319.24/x
  3. Step 3: Cross multiply
    274,265.80x = 411,439.74 × 87,319.24
  4. Step 4: Simplify right side
    274,265.80x = 35,926,605,402.60
  5. Step 5: Solve for x
    x = 35,926,605,402.60/274,265.80
  6. Step 6: Final answer
    x = 130,991.93

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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.