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Finding the Fourth Proportional to 392,475.76, 588,801.42 and 143,157.76

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Solution

The fourth proportional to 392,475.76, 588,801.42 and 143,157.76 is: 214,768.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,475.76 : 588,801.42 = 143,157.76 : x
  2. Step 2: Convert to fraction form
    392,475.76/588,801.42 = 143,157.76/x
  3. Step 3: Cross multiply
    392,475.76x = 588,801.42 × 143,157.76
  4. Step 4: Simplify right side
    392,475.76x = 84,291,492,372.02
  5. Step 5: Solve for x
    x = 84,291,492,372.02/392,475.76
  6. Step 6: Final answer
    x = 214,768.66

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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.