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Finding the Fourth Proportional to 289,753.80, 399,973.51 and 221,766.72

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Solution

The fourth proportional to 289,753.80, 399,973.51 and 221,766.72 is: 306,124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,753.80 : 399,973.51 = 221,766.72 : x
  2. Step 2: Convert to fraction form
    289,753.80/399,973.51 = 221,766.72/x
  3. Step 3: Cross multiply
    289,753.80x = 399,973.51 × 221,766.72
  4. Step 4: Simplify right side
    289,753.80x = 88,700,813,399.59
  5. Step 5: Solve for x
    x = 88,700,813,399.59/289,753.80
  6. Step 6: Final answer
    x = 306,124.76

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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.