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Finding the Fourth Proportional to 276,707.10, 415,060.65 and 156,640.80

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Solution

The fourth proportional to 276,707.10, 415,060.65 and 156,640.80 is: 234,961.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,707.10 : 415,060.65 = 156,640.80 : x
  2. Step 2: Convert to fraction form
    276,707.10/415,060.65 = 156,640.80/x
  3. Step 3: Cross multiply
    276,707.10x = 415,060.65 × 156,640.80
  4. Step 4: Simplify right side
    276,707.10x = 65,015,432,264.52
  5. Step 5: Solve for x
    x = 65,015,432,264.52/276,707.10
  6. Step 6: Final answer
    x = 234,961.20

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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.