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Finding the Fourth Proportional to 282,608.28, 390,020.98 and 161,787.32

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Solution

The fourth proportional to 282,608.28, 390,020.98 and 161,787.32 is: 223,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,608.28 : 390,020.98 = 161,787.32 : x
  2. Step 2: Convert to fraction form
    282,608.28/390,020.98 = 161,787.32/x
  3. Step 3: Cross multiply
    282,608.28x = 390,020.98 × 161,787.32
  4. Step 4: Simplify right side
    282,608.28x = 63,100,449,097.97
  5. Step 5: Solve for x
    x = 63,100,449,097.97/282,608.28
  6. Step 6: Final answer
    x = 223,278.84

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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.