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Finding the Fourth Proportional to 288,974.20, 432,878.10 and 200,327.80

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Solution

The fourth proportional to 288,974.20, 432,878.10 and 200,327.80 is: 300,087.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,974.20 : 432,878.10 = 200,327.80 : x
  2. Step 2: Convert to fraction form
    288,974.20/432,878.10 = 200,327.80/x
  3. Step 3: Cross multiply
    288,974.20x = 432,878.10 × 200,327.80
  4. Step 4: Simplify right side
    288,974.20x = 86,717,517,441.18
  5. Step 5: Solve for x
    x = 86,717,517,441.18/288,974.20
  6. Step 6: Final answer
    x = 300,087.40

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1.5x scale

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.