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Finding the Fourth Proportional to 547,739.60, 819,996.60 and 408,117.20

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Solution

The fourth proportional to 547,739.60, 819,996.60 and 408,117.20 is: 610,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,739.60 : 819,996.60 = 408,117.20 : x
  2. Step 2: Convert to fraction form
    547,739.60/819,996.60 = 408,117.20/x
  3. Step 3: Cross multiply
    547,739.60x = 819,996.60 × 408,117.20
  4. Step 4: Simplify right side
    547,739.60x = 334,654,716,401.52
  5. Step 5: Solve for x
    x = 334,654,716,401.52/547,739.60
  6. Step 6: Final answer
    x = 610,974.11

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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.