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Finding the Fourth Proportional to 288,301.60, 431,796.30 and 147,896.20

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Solution

The fourth proportional to 288,301.60, 431,796.30 and 147,896.20 is: 221,507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,301.60 : 431,796.30 = 147,896.20 : x
  2. Step 2: Convert to fraction form
    288,301.60/431,796.30 = 147,896.20/x
  3. Step 3: Cross multiply
    288,301.60x = 431,796.30 × 147,896.20
  4. Step 4: Simplify right side
    288,301.60x = 63,861,031,944.06
  5. Step 5: Solve for x
    x = 63,861,031,944.06/288,301.60
  6. Step 6: Final answer
    x = 221,507.73

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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.