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Finding the Fourth Proportional to 288,050.20, 431,729.70 and 147,736.60

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Solution

The fourth proportional to 288,050.20, 431,729.70 and 147,736.60 is: 221,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,050.20 : 431,729.70 = 147,736.60 : x
  2. Step 2: Convert to fraction form
    288,050.20/431,729.70 = 147,736.60/x
  3. Step 3: Cross multiply
    288,050.20x = 431,729.70 × 147,736.60
  4. Step 4: Simplify right side
    288,050.20x = 63,782,277,997.02
  5. Step 5: Solve for x
    x = 63,782,277,997.02/288,050.20
  6. Step 6: Final answer
    x = 221,427.65

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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.