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Finding the Fourth Proportional to 305,888.02, 422,113.73 and 169,930.52

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Solution

The fourth proportional to 305,888.02, 422,113.73 and 169,930.52 is: 234,497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,888.02 : 422,113.73 = 169,930.52 : x
  2. Step 2: Convert to fraction form
    305,888.02/422,113.73 = 169,930.52/x
  3. Step 3: Cross multiply
    305,888.02x = 422,113.73 × 169,930.52
  4. Step 4: Simplify right side
    305,888.02x = 71,730,002,677.82
  5. Step 5: Solve for x
    x = 71,730,002,677.82/305,888.02
  6. Step 6: Final answer
    x = 234,497.59

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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.