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Finding the Fourth Proportional to 270,575.20, 405,419.48 and 144,081.12

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Solution

The fourth proportional to 270,575.20, 405,419.48 and 144,081.12 is: 215,885.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,575.20 : 405,419.48 = 144,081.12 : x
  2. Step 2: Convert to fraction form
    270,575.20/405,419.48 = 144,081.12/x
  3. Step 3: Cross multiply
    270,575.20x = 405,419.48 × 144,081.12
  4. Step 4: Simplify right side
    270,575.20x = 58,413,292,748.22
  5. Step 5: Solve for x
    x = 58,413,292,748.22/270,575.20
  6. Step 6: Final answer
    x = 215,885.61

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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.