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Finding the Fourth Proportional to 537,540.80, 806,810.10 and 271,488.14

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Solution

The fourth proportional to 537,540.80, 806,810.10 and 271,488.14 is: 407,484.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,540.80 : 806,810.10 = 271,488.14 : x
  2. Step 2: Convert to fraction form
    537,540.80/806,810.10 = 271,488.14/x
  3. Step 3: Cross multiply
    537,540.80x = 806,810.10 × 271,488.14
  4. Step 4: Simplify right side
    537,540.80x = 219,039,373,382.21
  5. Step 5: Solve for x
    x = 219,039,373,382.21/537,540.80
  6. Step 6: Final answer
    x = 407,484.18

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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.