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Finding the Fourth Proportional to 305,142.78, 421,140.63 and 169,206.96

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Solution

The fourth proportional to 305,142.78, 421,140.63 and 169,206.96 is: 233,529.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,142.78 : 421,140.63 = 169,206.96 : x
  2. Step 2: Convert to fraction form
    305,142.78/421,140.63 = 169,206.96/x
  3. Step 3: Cross multiply
    305,142.78x = 421,140.63 × 169,206.96
  4. Step 4: Simplify right side
    305,142.78x = 71,259,925,734.78
  5. Step 5: Solve for x
    x = 71,259,925,734.78/305,142.78
  6. Step 6: Final answer
    x = 233,529.78

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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.