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Finding the Fourth Proportional to 547,056.60, 820,196.10 and 247,680.60

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Solution

The fourth proportional to 547,056.60, 820,196.10 and 247,680.60 is: 371,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,056.60 : 820,196.10 = 247,680.60 : x
  2. Step 2: Convert to fraction form
    547,056.60/820,196.10 = 247,680.60/x
  3. Step 3: Cross multiply
    547,056.60x = 820,196.10 × 247,680.60
  4. Step 4: Simplify right side
    547,056.60x = 203,146,662,165.66
  5. Step 5: Solve for x
    x = 203,146,662,165.66/547,056.60
  6. Step 6: Final answer
    x = 371,344.87

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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.