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Finding the Fourth Proportional to 282,169.74, 389,399.49 and 154,849.89

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Solution

The fourth proportional to 282,169.74, 389,399.49 and 154,849.89 is: 213,695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,169.74 : 389,399.49 = 154,849.89 : x
  2. Step 2: Convert to fraction form
    282,169.74/389,399.49 = 154,849.89/x
  3. Step 3: Cross multiply
    282,169.74x = 389,399.49 × 154,849.89
  4. Step 4: Simplify right side
    282,169.74x = 60,298,468,192.56
  5. Step 5: Solve for x
    x = 60,298,468,192.56/282,169.74
  6. Step 6: Final answer
    x = 213,695.73

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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.