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Finding the Fourth Proportional to 312,116.20, 468,336.30 and 145,904.20

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Solution

The fourth proportional to 312,116.20, 468,336.30 and 145,904.20 is: 218,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,116.20 : 468,336.30 = 145,904.20 : x
  2. Step 2: Convert to fraction form
    312,116.20/468,336.30 = 145,904.20/x
  3. Step 3: Cross multiply
    312,116.20x = 468,336.30 × 145,904.20
  4. Step 4: Simplify right side
    312,116.20x = 68,332,233,182.46
  5. Step 5: Solve for x
    x = 68,332,233,182.46/312,116.20
  6. Step 6: Final answer
    x = 218,932.03

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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.