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Finding the Fourth Proportional to 407,286.22, 610,134.65 and 266,618.38

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Solution

The fourth proportional to 407,286.22, 610,134.65 and 266,618.38 is: 399,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,286.22 : 610,134.65 = 266,618.38 : x
  2. Step 2: Convert to fraction form
    407,286.22/610,134.65 = 266,618.38/x
  3. Step 3: Cross multiply
    407,286.22x = 610,134.65 × 266,618.38
  4. Step 4: Simplify right side
    407,286.22x = 162,673,107,581.10
  5. Step 5: Solve for x
    x = 162,673,107,581.10/407,286.22
  6. Step 6: Final answer
    x = 399,407.35

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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.