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Finding the Fourth Proportional to 381,664.10, 572,496.15 and 101,209.70

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Solution

The fourth proportional to 381,664.10, 572,496.15 and 101,209.70 is: 151,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,664.10 : 572,496.15 = 101,209.70 : x
  2. Step 2: Convert to fraction form
    381,664.10/572,496.15 = 101,209.70/x
  3. Step 3: Cross multiply
    381,664.10x = 572,496.15 × 101,209.70
  4. Step 4: Simplify right side
    381,664.10x = 57,942,163,592.66
  5. Step 5: Solve for x
    x = 57,942,163,592.66/381,664.10
  6. Step 6: Final answer
    x = 151,814.55

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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.