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Finding the Fourth Proportional to 311,501.61, 467,052.80 and 131,538.29

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Solution

The fourth proportional to 311,501.61, 467,052.80 and 131,538.29 is: 197,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,501.61 : 467,052.80 = 131,538.29 : x
  2. Step 2: Convert to fraction form
    311,501.61/467,052.80 = 131,538.29/x
  3. Step 3: Cross multiply
    311,501.61x = 467,052.80 × 131,538.29
  4. Step 4: Simplify right side
    311,501.61x = 61,435,327,654.92
  5. Step 5: Solve for x
    x = 61,435,327,654.92/311,501.61
  6. Step 6: Final answer
    x = 197,223.15

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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.