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Finding the Fourth Proportional to 431,125.71, 646,767.03 and 146,801.73

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Solution

The fourth proportional to 431,125.71, 646,767.03 and 146,801.73 is: 220,229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,125.71 : 646,767.03 = 146,801.73 : x
  2. Step 2: Convert to fraction form
    431,125.71/646,767.03 = 146,801.73/x
  3. Step 3: Cross multiply
    431,125.71x = 646,767.03 × 146,801.73
  4. Step 4: Simplify right side
    431,125.71x = 94,946,518,910.96
  5. Step 5: Solve for x
    x = 94,946,518,910.96/431,125.71
  6. Step 6: Final answer
    x = 220,229.31

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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.