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Finding the Fourth Proportional to 284,193.16, 392,189.84 and 156,868.88

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Solution

The fourth proportional to 284,193.16, 392,189.84 and 156,868.88 is: 216,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,193.16 : 392,189.84 = 156,868.88 : x
  2. Step 2: Convert to fraction form
    284,193.16/392,189.84 = 156,868.88/x
  3. Step 3: Cross multiply
    284,193.16x = 392,189.84 × 156,868.88
  4. Step 4: Simplify right side
    284,193.16x = 61,522,380,948.18
  5. Step 5: Solve for x
    x = 61,522,380,948.18/284,193.16
  6. Step 6: Final answer
    x = 216,480.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.