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Finding the Fourth Proportional to 543,643.20, 813,909.60 and 543,643.20

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Solution

The fourth proportional to 543,643.20, 813,909.60 and 543,643.20 is: 813,909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,643.20 : 813,909.60 = 543,643.20 : x
  2. Step 2: Convert to fraction form
    543,643.20/813,909.60 = 543,643.20/x
  3. Step 3: Cross multiply
    543,643.20x = 813,909.60 × 543,643.20
  4. Step 4: Simplify right side
    543,643.20x = 442,476,419,454.72
  5. Step 5: Solve for x
    x = 442,476,419,454.72/543,643.20
  6. Step 6: Final answer
    x = 813,909.60

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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.