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Finding the Fourth Proportional to 547,963.70, 821,362.35 and 210,874.10

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Solution

The fourth proportional to 547,963.70, 821,362.35 and 210,874.10 is: 316,086.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,963.70 : 821,362.35 = 210,874.10 : x
  2. Step 2: Convert to fraction form
    547,963.70/821,362.35 = 210,874.10/x
  3. Step 3: Cross multiply
    547,963.70x = 821,362.35 × 210,874.10
  4. Step 4: Simplify right side
    547,963.70x = 173,204,046,330.14
  5. Step 5: Solve for x
    x = 173,204,046,330.14/547,963.70
  6. Step 6: Final answer
    x = 316,086.72

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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.