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Finding the Fourth Proportional to 646,546.61, 969,900.42 and 220,049.66

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Solution

The fourth proportional to 646,546.61, 969,900.42 and 220,049.66 is: 330,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,546.61 : 969,900.42 = 220,049.66 : x
  2. Step 2: Convert to fraction form
    646,546.61/969,900.42 = 220,049.66/x
  3. Step 3: Cross multiply
    646,546.61x = 969,900.42 × 220,049.66
  4. Step 4: Simplify right side
    646,546.61x = 213,426,257,654.86
  5. Step 5: Solve for x
    x = 213,426,257,654.86/646,546.61
  6. Step 6: Final answer
    x = 330,101.89

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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.