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Finding the Fourth Proportional to 307,110, 460,728.72 and 129,618.48

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Solution

The fourth proportional to 307,110, 460,728.72 and 129,618.48 is: 194,454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,110 : 460,728.72 = 129,618.48 : x
  2. Step 2: Convert to fraction form
    307,110/460,728.72 = 129,618.48/x
  3. Step 3: Cross multiply
    307,110x = 460,728.72 × 129,618.48
  4. Step 4: Simplify right side
    307,110x = 59,718,956,378.75
  5. Step 5: Solve for x
    x = 59,718,956,378.75/307,110
  6. Step 6: Final answer
    x = 194,454.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.