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Finding the Fourth Proportional to 290,202.78, 400,630.14 and 225,527.52

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Solution

The fourth proportional to 290,202.78, 400,630.14 and 225,527.52 is: 311,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,202.78 : 400,630.14 = 225,527.52 : x
  2. Step 2: Convert to fraction form
    290,202.78/400,630.14 = 225,527.52/x
  3. Step 3: Cross multiply
    290,202.78x = 400,630.14 × 225,527.52
  4. Step 4: Simplify right side
    290,202.78x = 90,353,121,911.45
  5. Step 5: Solve for x
    x = 90,353,121,911.45/290,202.78
  6. Step 6: Final answer
    x = 311,344.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.