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Finding the Fourth Proportional to 431,428.70, 647,337.45 and 206,702.30

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Solution

The fourth proportional to 431,428.70, 647,337.45 and 206,702.30 is: 310,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,428.70 : 647,337.45 = 206,702.30 : x
  2. Step 2: Convert to fraction form
    431,428.70/647,337.45 = 206,702.30/x
  3. Step 3: Cross multiply
    431,428.70x = 647,337.45 × 206,702.30
  4. Step 4: Simplify right side
    431,428.70x = 133,806,139,791.14
  5. Step 5: Solve for x
    x = 133,806,139,791.14/431,428.70
  6. Step 6: Final answer
    x = 310,146.59

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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.