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Finding the Fourth Proportional to 270,294.10, 405,643.11 and 101,980.42

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Solution

The fourth proportional to 270,294.10, 405,643.11 and 101,980.42 is: 153,046.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,294.10 : 405,643.11 = 101,980.42 : x
  2. Step 2: Convert to fraction form
    270,294.10/405,643.11 = 101,980.42/x
  3. Step 3: Cross multiply
    270,294.10x = 405,643.11 × 101,980.42
  4. Step 4: Simplify right side
    270,294.10x = 41,367,654,727.91
  5. Step 5: Solve for x
    x = 41,367,654,727.91/270,294.10
  6. Step 6: Final answer
    x = 153,046.83

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1.5x scale

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.