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Finding the Fourth Proportional to 547,280.90, 820,921.35 and 147,910.40

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Solution

The fourth proportional to 547,280.90, 820,921.35 and 147,910.40 is: 221,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,280.90 : 820,921.35 = 147,910.40 : x
  2. Step 2: Convert to fraction form
    547,280.90/820,921.35 = 147,910.40/x
  3. Step 3: Cross multiply
    547,280.90x = 820,921.35 × 147,910.40
  4. Step 4: Simplify right side
    547,280.90x = 121,422,805,247.04
  5. Step 5: Solve for x
    x = 121,422,805,247.04/547,280.90
  6. Step 6: Final answer
    x = 221,865.60

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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.