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Finding the Fourth Proportional to 270,899.40, 406,203.30 and 112,949.40

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Solution

The fourth proportional to 270,899.40, 406,203.30 and 112,949.40 is: 169,363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,899.40 : 406,203.30 = 112,949.40 : x
  2. Step 2: Convert to fraction form
    270,899.40/406,203.30 = 112,949.40/x
  3. Step 3: Cross multiply
    270,899.40x = 406,203.30 × 112,949.40
  4. Step 4: Simplify right side
    270,899.40x = 45,880,419,013.02
  5. Step 5: Solve for x
    x = 45,880,419,013.02/270,899.40
  6. Step 6: Final answer
    x = 169,363.31

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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.