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Finding the Fourth Proportional to 287,581.80, 431,372.70 and 181,293.60

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Solution

The fourth proportional to 287,581.80, 431,372.70 and 181,293.60 is: 271,940.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,581.80 : 431,372.70 = 181,293.60 : x
  2. Step 2: Convert to fraction form
    287,581.80/431,372.70 = 181,293.60/x
  3. Step 3: Cross multiply
    287,581.80x = 431,372.70 × 181,293.60
  4. Step 4: Simplify right side
    287,581.80x = 78,205,109,724.72
  5. Step 5: Solve for x
    x = 78,205,109,724.72/287,581.80
  6. Step 6: Final answer
    x = 271,940.40

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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.