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Finding the Fourth Proportional to 537,990.65, 807,305.96 and 271,778.12

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Solution

The fourth proportional to 537,990.65, 807,305.96 and 271,778.12 is: 407,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,990.65 : 807,305.96 = 271,778.12 : x
  2. Step 2: Convert to fraction form
    537,990.65/807,305.96 = 271,778.12/x
  3. Step 3: Cross multiply
    537,990.65x = 807,305.96 × 271,778.12
  4. Step 4: Simplify right side
    537,990.65x = 219,408,092,716.51
  5. Step 5: Solve for x
    x = 219,408,092,716.51/537,990.65
  6. Step 6: Final answer
    x = 407,828.83

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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.