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Finding the Fourth Proportional to 407,286.72, 610,135.40 and 266,618.88

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Solution

The fourth proportional to 407,286.72, 610,135.40 and 266,618.88 is: 399,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,286.72 : 610,135.40 = 266,618.88 : x
  2. Step 2: Convert to fraction form
    407,286.72/610,135.40 = 266,618.88/x
  3. Step 3: Cross multiply
    407,286.72x = 610,135.40 × 266,618.88
  4. Step 4: Simplify right side
    407,286.72x = 162,673,612,612.58
  5. Step 5: Solve for x
    x = 162,673,612,612.58/407,286.72
  6. Step 6: Final answer
    x = 399,408.10

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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.