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Finding the Fourth Proportional to 200,338.48, 300,624.42 and 75,689.20

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Solution

The fourth proportional to 200,338.48, 300,624.42 and 75,689.20 is: 113,577.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,338.48 : 300,624.42 = 75,689.20 : x
  2. Step 2: Convert to fraction form
    200,338.48/300,624.42 = 75,689.20/x
  3. Step 3: Cross multiply
    200,338.48x = 300,624.42 × 75,689.20
  4. Step 4: Simplify right side
    200,338.48x = 22,754,021,850.26
  5. Step 5: Solve for x
    x = 22,754,021,850.26/200,338.48
  6. Step 6: Final answer
    x = 113,577.89

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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.