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Finding the Fourth Proportional to 537,540.81, 806,810.10 and 271,488.15

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Solution

The fourth proportional to 537,540.81, 806,810.10 and 271,488.15 is: 407,484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,540.81 : 806,810.10 = 271,488.15 : x
  2. Step 2: Convert to fraction form
    537,540.81/806,810.10 = 271,488.15/x
  3. Step 3: Cross multiply
    537,540.81x = 806,810.10 × 271,488.15
  4. Step 4: Simplify right side
    537,540.81x = 219,039,381,450.32
  5. Step 5: Solve for x
    x = 219,039,381,450.32/537,540.81
  6. Step 6: Final answer
    x = 407,484.19

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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.