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Finding the Fourth Proportional to 547,743.60, 820,002.60 and 408,121.20

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Solution

The fourth proportional to 547,743.60, 820,002.60 and 408,121.20 is: 610,980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,743.60 : 820,002.60 = 408,121.20 : x
  2. Step 2: Convert to fraction form
    547,743.60/820,002.60 = 408,121.20/x
  3. Step 3: Cross multiply
    547,743.60x = 820,002.60 × 408,121.20
  4. Step 4: Simplify right side
    547,743.60x = 334,660,445,115.12
  5. Step 5: Solve for x
    x = 334,660,445,115.12/547,743.60
  6. Step 6: Final answer
    x = 610,980.11

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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.