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Finding the Fourth Proportional to 301,589.87, 415,963.40 and 204,868.30

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Solution

The fourth proportional to 301,589.87, 415,963.40 and 204,868.30 is: 282,561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,589.87 : 415,963.40 = 204,868.30 : x
  2. Step 2: Convert to fraction form
    301,589.87/415,963.40 = 204,868.30/x
  3. Step 3: Cross multiply
    301,589.87x = 415,963.40 × 204,868.30
  4. Step 4: Simplify right side
    301,589.87x = 85,217,712,555.97
  5. Step 5: Solve for x
    x = 85,217,712,555.97/301,589.87
  6. Step 6: Final answer
    x = 282,561.59

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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.