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Finding the Fourth Proportional to 547,280.40, 820,920.60 and 147,909.90

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Solution

The fourth proportional to 547,280.40, 820,920.60 and 147,909.90 is: 221,864.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,280.40 : 820,920.60 = 147,909.90 : x
  2. Step 2: Convert to fraction form
    547,280.40/820,920.60 = 147,909.90/x
  3. Step 3: Cross multiply
    547,280.40x = 820,920.60 × 147,909.90
  4. Step 4: Simplify right side
    547,280.40x = 121,422,283,853.94
  5. Step 5: Solve for x
    x = 121,422,283,853.94/547,280.40
  6. Step 6: Final answer
    x = 221,864.85

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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.