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Finding the Fourth Proportional to 312,304.56, 468,767.88 and 172,129.20

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Solution

The fourth proportional to 312,304.56, 468,767.88 and 172,129.20 is: 258,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,304.56 : 468,767.88 = 172,129.20 : x
  2. Step 2: Convert to fraction form
    312,304.56/468,767.88 = 172,129.20/x
  3. Step 3: Cross multiply
    312,304.56x = 468,767.88 × 172,129.20
  4. Step 4: Simplify right side
    312,304.56x = 80,688,640,170.10
  5. Step 5: Solve for x
    x = 80,688,640,170.10/312,304.56
  6. Step 6: Final answer
    x = 258,365.23

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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.