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Finding the Fourth Proportional to 384,781.76, 576,861.84 and 160,311.28

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Solution

The fourth proportional to 384,781.76, 576,861.84 and 160,311.28 is: 240,337.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,781.76 : 576,861.84 = 160,311.28 : x
  2. Step 2: Convert to fraction form
    384,781.76/576,861.84 = 160,311.28/x
  3. Step 3: Cross multiply
    384,781.76x = 576,861.84 × 160,311.28
  4. Step 4: Simplify right side
    384,781.76x = 92,477,459,953.56
  5. Step 5: Solve for x
    x = 92,477,459,953.56/384,781.76
  6. Step 6: Final answer
    x = 240,337.43

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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.