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Finding the Fourth Proportional to 200,218.30, 300,238.89 and 59,950.78

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Solution

The fourth proportional to 200,218.30, 300,238.89 and 59,950.78 is: 89,899.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,218.30 : 300,238.89 = 59,950.78 : x
  2. Step 2: Convert to fraction form
    200,218.30/300,238.89 = 59,950.78/x
  3. Step 3: Cross multiply
    200,218.30x = 300,238.89 × 59,950.78
  4. Step 4: Simplify right side
    200,218.30x = 17,999,555,641.83
  5. Step 5: Solve for x
    x = 17,999,555,641.83/200,218.30
  6. Step 6: Final answer
    x = 89,899.65

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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.