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Finding the Fourth Proportional to 431,392.90, 647,091 and 131,872.32

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Solution

The fourth proportional to 431,392.90, 647,091 and 131,872.32 is: 197,808.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,392.90 : 647,091 = 131,872.32 : x
  2. Step 2: Convert to fraction form
    431,392.90/647,091 = 131,872.32/x
  3. Step 3: Cross multiply
    431,392.90x = 647,091 × 131,872.32
  4. Step 4: Simplify right side
    431,392.90x = 85,333,391,421.12
  5. Step 5: Solve for x
    x = 85,333,391,421.12/431,392.90
  6. Step 6: Final answer
    x = 197,808.98

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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.