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Finding the Fourth Proportional to 331,129.46, 496,305.15 and 153,260.78

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Solution

The fourth proportional to 331,129.46, 496,305.15 and 153,260.78 is: 229,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,129.46 : 496,305.15 = 153,260.78 : x
  2. Step 2: Convert to fraction form
    331,129.46/496,305.15 = 153,260.78/x
  3. Step 3: Cross multiply
    331,129.46x = 496,305.15 × 153,260.78
  4. Step 4: Simplify right side
    331,129.46x = 76,064,114,407.02
  5. Step 5: Solve for x
    x = 76,064,114,407.02/331,129.46
  6. Step 6: Final answer
    x = 229,711.11

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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.