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Finding the Fourth Proportional to 384,377.98, 576,238.92 and 271,703.74

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Solution

The fourth proportional to 384,377.98, 576,238.92 and 271,703.74 is: 407,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,377.98 : 576,238.92 = 271,703.74 : x
  2. Step 2: Convert to fraction form
    384,377.98/576,238.92 = 271,703.74/x
  3. Step 3: Cross multiply
    384,377.98x = 576,238.92 × 271,703.74
  4. Step 4: Simplify right side
    384,377.98x = 156,566,269,697.56
  5. Step 5: Solve for x
    x = 156,566,269,697.56/384,377.98
  6. Step 6: Final answer
    x = 407,323.72

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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.