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Finding the Fourth Proportional to 282,662.87, 390,056.41 and 161,805.11

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Solution

The fourth proportional to 282,662.87, 390,056.41 and 161,805.11 is: 223,280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,662.87 : 390,056.41 = 161,805.11 : x
  2. Step 2: Convert to fraction form
    282,662.87/390,056.41 = 161,805.11/x
  3. Step 3: Cross multiply
    282,662.87x = 390,056.41 × 161,805.11
  4. Step 4: Simplify right side
    282,662.87x = 63,113,120,326.26
  5. Step 5: Solve for x
    x = 63,113,120,326.26/282,662.87
  6. Step 6: Final answer
    x = 223,280.55

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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.