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Finding the Fourth Proportional to 305,014.40, 420,919.92 and 169,057.12

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Solution

The fourth proportional to 305,014.40, 420,919.92 and 169,057.12 is: 233,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,014.40 : 420,919.92 = 169,057.12 : x
  2. Step 2: Convert to fraction form
    305,014.40/420,919.92 = 169,057.12/x
  3. Step 3: Cross multiply
    305,014.40x = 420,919.92 × 169,057.12
  4. Step 4: Simplify right side
    305,014.40x = 71,159,509,425.83
  5. Step 5: Solve for x
    x = 71,159,509,425.83/305,014.40
  6. Step 6: Final answer
    x = 233,298.85

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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.