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Finding the Fourth Proportional to 311,471.64, 467,315.86 and 98,272.46

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Solution

The fourth proportional to 311,471.64, 467,315.86 and 98,272.46 is: 147,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,471.64 : 467,315.86 = 98,272.46 : x
  2. Step 2: Convert to fraction form
    311,471.64/467,315.86 = 98,272.46/x
  3. Step 3: Cross multiply
    311,471.64x = 467,315.86 × 98,272.46
  4. Step 4: Simplify right side
    311,471.64x = 45,924,279,159.22
  5. Step 5: Solve for x
    x = 45,924,279,159.22/311,471.64
  6. Step 6: Final answer
    x = 147,442.89

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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.