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Finding the Fourth Proportional to 305,228.57, 421,242.05 and 177,901.43

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Solution

The fourth proportional to 305,228.57, 421,242.05 and 177,901.43 is: 245,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,228.57 : 421,242.05 = 177,901.43 : x
  2. Step 2: Convert to fraction form
    305,228.57/421,242.05 = 177,901.43/x
  3. Step 3: Cross multiply
    305,228.57x = 421,242.05 × 177,901.43
  4. Step 4: Simplify right side
    305,228.57x = 74,939,561,409.67
  5. Step 5: Solve for x
    x = 74,939,561,409.67/305,228.57
  6. Step 6: Final answer
    x = 245,519.49

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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.