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Finding the Fourth Proportional to 547,286.40, 820,929.60 and 147,915.90

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Solution

The fourth proportional to 547,286.40, 820,929.60 and 147,915.90 is: 221,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,286.40 : 820,929.60 = 147,915.90 : x
  2. Step 2: Convert to fraction form
    547,286.40/820,929.60 = 147,915.90/x
  3. Step 3: Cross multiply
    547,286.40x = 820,929.60 × 147,915.90
  4. Step 4: Simplify right side
    547,286.40x = 121,428,540,620.64
  5. Step 5: Solve for x
    x = 121,428,540,620.64/547,286.40
  6. Step 6: Final answer
    x = 221,873.85

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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.