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Finding the Fourth Proportional to 290,013.82, 435,149.62 and 112,534.52

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Solution

The fourth proportional to 290,013.82, 435,149.62 and 112,534.52 is: 168,851.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,013.82 : 435,149.62 = 112,534.52 : x
  2. Step 2: Convert to fraction form
    290,013.82/435,149.62 = 112,534.52/x
  3. Step 3: Cross multiply
    290,013.82x = 435,149.62 × 112,534.52
  4. Step 4: Simplify right side
    290,013.82x = 48,969,351,157.80
  5. Step 5: Solve for x
    x = 48,969,351,157.80/290,013.82
  6. Step 6: Final answer
    x = 168,851.79

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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.