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Finding the Fourth Proportional to 305,197.53, 421,177.64 and 169,237.20

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Solution

The fourth proportional to 305,197.53, 421,177.64 and 169,237.20 is: 233,550.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,197.53 : 421,177.64 = 169,237.20 : x
  2. Step 2: Convert to fraction form
    305,197.53/421,177.64 = 169,237.20/x
  3. Step 3: Cross multiply
    305,197.53x = 421,177.64 × 169,237.20
  4. Step 4: Simplify right side
    305,197.53x = 71,278,923,650.02
  5. Step 5: Solve for x
    x = 71,278,923,650.02/305,197.53
  6. Step 6: Final answer
    x = 233,550.13

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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.