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Finding the Fourth Proportional to 282,243.54, 389,475.72 and 161,389.92

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Solution

The fourth proportional to 282,243.54, 389,475.72 and 161,389.92 is: 222,706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,243.54 : 389,475.72 = 161,389.92 : x
  2. Step 2: Convert to fraction form
    282,243.54/389,475.72 = 161,389.92/x
  3. Step 3: Cross multiply
    282,243.54x = 389,475.72 × 161,389.92
  4. Step 4: Simplify right side
    282,243.54x = 62,857,455,292.74
  5. Step 5: Solve for x
    x = 62,857,455,292.74/282,243.54
  6. Step 6: Final answer
    x = 222,706.44

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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.