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Finding the Fourth Proportional to 274,821.40, 412,232.10 and 85,281.40

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Solution

The fourth proportional to 274,821.40, 412,232.10 and 85,281.40 is: 127,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,821.40 : 412,232.10 = 85,281.40 : x
  2. Step 2: Convert to fraction form
    274,821.40/412,232.10 = 85,281.40/x
  3. Step 3: Cross multiply
    274,821.40x = 412,232.10 × 85,281.40
  4. Step 4: Simplify right side
    274,821.40x = 35,155,730,612.94
  5. Step 5: Solve for x
    x = 35,155,730,612.94/274,821.40
  6. Step 6: Final answer
    x = 127,922.10

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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.