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Finding the Fourth Proportional to 282,282.32, 389,545.80 and 161,443.28

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Solution

The fourth proportional to 282,282.32, 389,545.80 and 161,443.28 is: 222,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,282.32 : 389,545.80 = 161,443.28 : x
  2. Step 2: Convert to fraction form
    282,282.32/389,545.80 = 161,443.28/x
  3. Step 3: Cross multiply
    282,282.32x = 389,545.80 × 161,443.28
  4. Step 4: Simplify right side
    282,282.32x = 62,889,551,662.22
  5. Step 5: Solve for x
    x = 62,889,551,662.22/282,282.32
  6. Step 6: Final answer
    x = 222,789.55

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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.