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Finding the Fourth Proportional to 282,315.92, 389,626.94 and 161,468.51

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Solution

The fourth proportional to 282,315.92, 389,626.94 and 161,468.51 is: 222,844.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,315.92 : 389,626.94 = 161,468.51 : x
  2. Step 2: Convert to fraction form
    282,315.92/389,626.94 = 161,468.51/x
  3. Step 3: Cross multiply
    282,315.92x = 389,626.94 × 161,468.51
  4. Step 4: Simplify right side
    282,315.92x = 62,912,479,913.20
  5. Step 5: Solve for x
    x = 62,912,479,913.20/282,315.92
  6. Step 6: Final answer
    x = 222,844.26

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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.