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Finding the Fourth Proportional to 270,498.39, 405,784.52 and 112,689.96

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Solution

The fourth proportional to 270,498.39, 405,784.52 and 112,689.96 is: 169,050.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,498.39 : 405,784.52 = 112,689.96 : x
  2. Step 2: Convert to fraction form
    270,498.39/405,784.52 = 112,689.96/x
  3. Step 3: Cross multiply
    270,498.39x = 405,784.52 × 112,689.96
  4. Step 4: Simplify right side
    270,498.39x = 45,727,840,763.97
  5. Step 5: Solve for x
    x = 45,727,840,763.97/270,498.39
  6. Step 6: Final answer
    x = 169,050.33

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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.