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Finding the Fourth Proportional to 537,747.20, 806,620.80 and 514,127.60

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Solution

The fourth proportional to 537,747.20, 806,620.80 and 514,127.60 is: 771,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,747.20 : 806,620.80 = 514,127.60 : x
  2. Step 2: Convert to fraction form
    537,747.20/806,620.80 = 514,127.60/x
  3. Step 3: Cross multiply
    537,747.20x = 806,620.80 × 514,127.60
  4. Step 4: Simplify right side
    537,747.20x = 414,706,016,014.08
  5. Step 5: Solve for x
    x = 414,706,016,014.08/537,747.20
  6. Step 6: Final answer
    x = 771,191.40

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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.