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Finding the Fourth Proportional to 431,360.29, 647,040.90 and 430,737.31

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Solution

The fourth proportional to 431,360.29, 647,040.90 and 430,737.31 is: 646,106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,360.29 : 647,040.90 = 430,737.31 : x
  2. Step 2: Convert to fraction form
    431,360.29/647,040.90 = 430,737.31/x
  3. Step 3: Cross multiply
    431,360.29x = 647,040.90 × 430,737.31
  4. Step 4: Simplify right side
    431,360.29x = 278,704,656,725.98
  5. Step 5: Solve for x
    x = 278,704,656,725.98/431,360.29
  6. Step 6: Final answer
    x = 646,106.43

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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.