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Finding the Fourth Proportional to 305,807.80, 422,020.38 and 169,854.34

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Solution

The fourth proportional to 305,807.80, 422,020.38 and 169,854.34 is: 234,402.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,807.80 : 422,020.38 = 169,854.34 : x
  2. Step 2: Convert to fraction form
    305,807.80/422,020.38 = 169,854.34/x
  3. Step 3: Cross multiply
    305,807.80x = 422,020.38 × 169,854.34
  4. Step 4: Simplify right side
    305,807.80x = 71,681,993,111.45
  5. Step 5: Solve for x
    x = 71,681,993,111.45/305,807.80
  6. Step 6: Final answer
    x = 234,402.11

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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.