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Finding the Fourth Proportional to 287,728.49, 396,902.49 and 180,111.62

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Solution

The fourth proportional to 287,728.49, 396,902.49 and 180,111.62 is: 248,452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,728.49 : 396,902.49 = 180,111.62 : x
  2. Step 2: Convert to fraction form
    287,728.49/396,902.49 = 180,111.62/x
  3. Step 3: Cross multiply
    287,728.49x = 396,902.49 × 180,111.62
  4. Step 4: Simplify right side
    287,728.49x = 71,486,750,455.93
  5. Step 5: Solve for x
    x = 71,486,750,455.93/287,728.49
  6. Step 6: Final answer
    x = 248,452.11

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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.