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Finding the Fourth Proportional to 379,472.80, 569,209.20 and 142,868.56

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Solution

The fourth proportional to 379,472.80, 569,209.20 and 142,868.56 is: 214,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,472.80 : 569,209.20 = 142,868.56 : x
  2. Step 2: Convert to fraction form
    379,472.80/569,209.20 = 142,868.56/x
  3. Step 3: Cross multiply
    379,472.80x = 569,209.20 × 142,868.56
  4. Step 4: Simplify right side
    379,472.80x = 81,322,098,742.75
  5. Step 5: Solve for x
    x = 81,322,098,742.75/379,472.80
  6. Step 6: Final answer
    x = 214,302.84

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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.