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Finding the Fourth Proportional to 270,293.10, 405,641.61 and 101,979.42

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Solution

The fourth proportional to 270,293.10, 405,641.61 and 101,979.42 is: 153,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,293.10 : 405,641.61 = 101,979.42 : x
  2. Step 2: Convert to fraction form
    270,293.10/405,641.61 = 101,979.42/x
  3. Step 3: Cross multiply
    270,293.10x = 405,641.61 × 101,979.42
  4. Step 4: Simplify right side
    270,293.10x = 41,367,096,115.67
  5. Step 5: Solve for x
    x = 41,367,096,115.67/270,293.10
  6. Step 6: Final answer
    x = 153,045.33

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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.