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Finding the Fourth Proportional to 514,571.20, 771,200.70 and 247,757.20

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Solution

The fourth proportional to 514,571.20, 771,200.70 and 247,757.20 is: 371,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,571.20 : 771,200.70 = 247,757.20 : x
  2. Step 2: Convert to fraction form
    514,571.20/771,200.70 = 247,757.20/x
  3. Step 3: Cross multiply
    514,571.20x = 771,200.70 × 247,757.20
  4. Step 4: Simplify right side
    514,571.20x = 191,070,526,070.04
  5. Step 5: Solve for x
    x = 191,070,526,070.04/514,571.20
  6. Step 6: Final answer
    x = 371,319.90

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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.