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Finding the Fourth Proportional to 232,212.80, 320,483.32 and 136,728.38

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Solution

The fourth proportional to 232,212.80, 320,483.32 and 136,728.38 is: 188,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,212.80 : 320,483.32 = 136,728.38 : x
  2. Step 2: Convert to fraction form
    232,212.80/320,483.32 = 136,728.38/x
  3. Step 3: Cross multiply
    232,212.80x = 320,483.32 × 136,728.38
  4. Step 4: Simplify right side
    232,212.80x = 43,819,165,160.62
  5. Step 5: Solve for x
    x = 43,819,165,160.62/232,212.80
  6. Step 6: Final answer
    x = 188,702.63

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1.5x scale

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.