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Finding the Fourth Proportional to 646,229.64, 969,270.60 and 172,951.91

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Solution

The fourth proportional to 646,229.64, 969,270.60 and 172,951.91 is: 259,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,229.64 : 969,270.60 = 172,951.91 : x
  2. Step 2: Convert to fraction form
    646,229.64/969,270.60 = 172,951.91/x
  3. Step 3: Cross multiply
    646,229.64x = 969,270.60 × 172,951.91
  4. Step 4: Simplify right side
    646,229.64x = 167,637,201,013.83
  5. Step 5: Solve for x
    x = 167,637,201,013.83/646,229.64
  6. Step 6: Final answer
    x = 259,408.10

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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.