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Finding the Fourth Proportional to 407,734.20, 611,601.30 and 266,016.60

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Solution

The fourth proportional to 407,734.20, 611,601.30 and 266,016.60 is: 399,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,734.20 : 611,601.30 = 266,016.60 : x
  2. Step 2: Convert to fraction form
    407,734.20/611,601.30 = 266,016.60/x
  3. Step 3: Cross multiply
    407,734.20x = 611,601.30 × 266,016.60
  4. Step 4: Simplify right side
    407,734.20x = 162,696,098,381.58
  5. Step 5: Solve for x
    x = 162,696,098,381.58/407,734.20
  6. Step 6: Final answer
    x = 399,024.90

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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.