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Finding the Fourth Proportional to 270,691.20, 405,712.80 and 112,838.40

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Solution

The fourth proportional to 270,691.20, 405,712.80 and 112,838.40 is: 169,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,691.20 : 405,712.80 = 112,838.40 : x
  2. Step 2: Convert to fraction form
    270,691.20/405,712.80 = 112,838.40/x
  3. Step 3: Cross multiply
    270,691.20x = 405,712.80 × 112,838.40
  4. Step 4: Simplify right side
    270,691.20x = 45,779,983,211.52
  5. Step 5: Solve for x
    x = 45,779,983,211.52/270,691.20
  6. Step 6: Final answer
    x = 169,122.54

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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.