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Finding the Fourth Proportional to 305,752.80, 421,942.70 and 169,795.22

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Solution

The fourth proportional to 305,752.80, 421,942.70 and 169,795.22 is: 234,319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,752.80 : 421,942.70 = 169,795.22 : x
  2. Step 2: Convert to fraction form
    305,752.80/421,942.70 = 169,795.22/x
  3. Step 3: Cross multiply
    305,752.80x = 421,942.70 × 169,795.22
  4. Step 4: Simplify right side
    305,752.80x = 71,643,850,615.20
  5. Step 5: Solve for x
    x = 71,643,850,615.20/305,752.80
  6. Step 6: Final answer
    x = 234,319.52

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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.