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Finding the Fourth Proportional to 270,731.20, 406,031.16 and 112,960.96

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Solution

The fourth proportional to 270,731.20, 406,031.16 and 112,960.96 is: 169,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,731.20 : 406,031.16 = 112,960.96 : x
  2. Step 2: Convert to fraction form
    270,731.20/406,031.16 = 112,960.96/x
  3. Step 3: Cross multiply
    270,731.20x = 406,031.16 × 112,960.96
  4. Step 4: Simplify right side
    270,731.20x = 45,865,669,623.51
  5. Step 5: Solve for x
    x = 45,865,669,623.51/270,731.20
  6. Step 6: Final answer
    x = 169,414.05

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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.