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Finding the Fourth Proportional to 232,200, 320,504.40 and 151,639.92

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Solution

The fourth proportional to 232,200, 320,504.40 and 151,639.92 is: 209,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,200 : 320,504.40 = 151,639.92 : x
  2. Step 2: Convert to fraction form
    232,200/320,504.40 = 151,639.92/x
  3. Step 3: Cross multiply
    232,200x = 320,504.40 × 151,639.92
  4. Step 4: Simplify right side
    232,200x = 48,601,261,575.65
  5. Step 5: Solve for x
    x = 48,601,261,575.65/232,200
  6. Step 6: Final answer
    x = 209,307.76

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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.