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Finding the Fourth Proportional to 213,402.24, 320,304.24 and 108,296.64

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Solution

The fourth proportional to 213,402.24, 320,304.24 and 108,296.64 is: 162,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,402.24 : 320,304.24 = 108,296.64 : x
  2. Step 2: Convert to fraction form
    213,402.24/320,304.24 = 108,296.64/x
  3. Step 3: Cross multiply
    213,402.24x = 320,304.24 × 108,296.64
  4. Step 4: Simplify right side
    213,402.24x = 34,687,872,969.75
  5. Step 5: Solve for x
    x = 34,687,872,969.75/213,402.24
  6. Step 6: Final answer
    x = 162,546.90

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1.5x scale

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.