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Finding the Fourth Proportional to 389,882.28, 584,705.70 and 202,791.72

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Solution

The fourth proportional to 389,882.28, 584,705.70 and 202,791.72 is: 304,126.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,882.28 : 584,705.70 = 202,791.72 : x
  2. Step 2: Convert to fraction form
    389,882.28/584,705.70 = 202,791.72/x
  3. Step 3: Cross multiply
    389,882.28x = 584,705.70 × 202,791.72
  4. Step 4: Simplify right side
    389,882.28x = 118,573,474,596.80
  5. Step 5: Solve for x
    x = 118,573,474,596.80/389,882.28
  6. Step 6: Final answer
    x = 304,126.35

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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.