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Finding the Fourth Proportional to 431,417.98, 647,128.68 and 131,897.26

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Solution

The fourth proportional to 431,417.98, 647,128.68 and 131,897.26 is: 197,846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,417.98 : 647,128.68 = 131,897.26 : x
  2. Step 2: Convert to fraction form
    431,417.98/647,128.68 = 131,897.26/x
  3. Step 3: Cross multiply
    431,417.98x = 647,128.68 × 131,897.26
  4. Step 4: Simplify right side
    431,417.98x = 85,354,499,759.42
  5. Step 5: Solve for x
    x = 85,354,499,759.42/431,417.98
  6. Step 6: Final answer
    x = 197,846.41

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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.