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Finding the Fourth Proportional to 274,265.60, 411,381.12 and 87,411.20

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Solution

The fourth proportional to 274,265.60, 411,381.12 and 87,411.20 is: 131,111.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,265.60 : 411,381.12 = 87,411.20 : x
  2. Step 2: Convert to fraction form
    274,265.60/411,381.12 = 87,411.20/x
  3. Step 3: Cross multiply
    274,265.60x = 411,381.12 × 87,411.20
  4. Step 4: Simplify right side
    274,265.60x = 35,959,317,356.54
  5. Step 5: Solve for x
    x = 35,959,317,356.54/274,265.60
  6. Step 6: Final answer
    x = 131,111.29

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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.