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Finding the Fourth Proportional to 282,748.26, 390,193.39 and 161,891.40

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Solution

The fourth proportional to 282,748.26, 390,193.39 and 161,891.40 is: 223,410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,748.26 : 390,193.39 = 161,891.40 : x
  2. Step 2: Convert to fraction form
    282,748.26/390,193.39 = 161,891.40/x
  3. Step 3: Cross multiply
    282,748.26x = 390,193.39 × 161,891.40
  4. Step 4: Simplify right side
    282,748.26x = 63,168,954,177.85
  5. Step 5: Solve for x
    x = 63,168,954,177.85/282,748.26
  6. Step 6: Final answer
    x = 223,410.59

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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.