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Finding the Fourth Proportional to 384,231.76, 576,375.32 and 147,574.42

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Solution

The fourth proportional to 384,231.76, 576,375.32 and 147,574.42 is: 221,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,231.76 : 576,375.32 = 147,574.42 : x
  2. Step 2: Convert to fraction form
    384,231.76/576,375.32 = 147,574.42/x
  3. Step 3: Cross multiply
    384,231.76x = 576,375.32 × 147,574.42
  4. Step 4: Simplify right side
    384,231.76x = 85,058,252,479.31
  5. Step 5: Solve for x
    x = 85,058,252,479.31/384,231.76
  6. Step 6: Final answer
    x = 221,372.26

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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.