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Finding the Fourth Proportional to 431,458.40, 647,104.08 and 131,866.40

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Solution

The fourth proportional to 431,458.40, 647,104.08 and 131,866.40 is: 197,774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,458.40 : 647,104.08 = 131,866.40 : x
  2. Step 2: Convert to fraction form
    431,458.40/647,104.08 = 131,866.40/x
  3. Step 3: Cross multiply
    431,458.40x = 647,104.08 × 131,866.40
  4. Step 4: Simplify right side
    431,458.40x = 85,331,285,454.91
  5. Step 5: Solve for x
    x = 85,331,285,454.91/431,458.40
  6. Step 6: Final answer
    x = 197,774.07

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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.