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Finding the Fourth Proportional to 547,140.60, 820,322.10 and 247,764.60

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Solution

The fourth proportional to 547,140.60, 820,322.10 and 247,764.60 is: 371,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,140.60 : 820,322.10 = 247,764.60 : x
  2. Step 2: Convert to fraction form
    547,140.60/820,322.10 = 247,764.60/x
  3. Step 3: Cross multiply
    547,140.60x = 820,322.10 × 247,764.60
  4. Step 4: Simplify right side
    547,140.60x = 203,246,776,977.66
  5. Step 5: Solve for x
    x = 203,246,776,977.66/547,140.60
  6. Step 6: Final answer
    x = 371,470.84

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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.