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Finding the Fourth Proportional to 546,847.20, 819,687.60 and 209,757.60

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Solution

The fourth proportional to 546,847.20, 819,687.60 and 209,757.60 is: 314,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,847.20 : 819,687.60 = 209,757.60 : x
  2. Step 2: Convert to fraction form
    546,847.20/819,687.60 = 209,757.60/x
  3. Step 3: Cross multiply
    546,847.20x = 819,687.60 × 209,757.60
  4. Step 4: Simplify right side
    546,847.20x = 171,935,703,725.76
  5. Step 5: Solve for x
    x = 171,935,703,725.76/546,847.20
  6. Step 6: Final answer
    x = 314,412.70

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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.