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Finding the Fourth Proportional to 407,540.16, 610,514.88 and 266,872.32

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Solution

The fourth proportional to 407,540.16, 610,514.88 and 266,872.32 is: 399,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,540.16 : 610,514.88 = 266,872.32 : x
  2. Step 2: Convert to fraction form
    407,540.16/610,514.88 = 266,872.32/x
  3. Step 3: Cross multiply
    407,540.16x = 610,514.88 × 266,872.32
  4. Step 4: Simplify right side
    407,540.16x = 162,929,522,420.12
  5. Step 5: Solve for x
    x = 162,929,522,420.12/407,540.16
  6. Step 6: Final answer
    x = 399,787.65

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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.