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Finding the Fourth Proportional to 564,961.28, 847,440.64 and 144,236.80

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Solution

The fourth proportional to 564,961.28, 847,440.64 and 144,236.80 is: 216,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,961.28 : 847,440.64 = 144,236.80 : x
  2. Step 2: Convert to fraction form
    564,961.28/847,440.64 = 144,236.80/x
  3. Step 3: Cross multiply
    564,961.28x = 847,440.64 × 144,236.80
  4. Step 4: Simplify right side
    564,961.28x = 122,232,126,103.55
  5. Step 5: Solve for x
    x = 122,232,126,103.55/564,961.28
  6. Step 6: Final answer
    x = 216,354.87

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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.