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Finding the Fourth Proportional to 282,751.76, 390,198.22 and 161,894.90

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Solution

The fourth proportional to 282,751.76, 390,198.22 and 161,894.90 is: 223,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,751.76 : 390,198.22 = 161,894.90 : x
  2. Step 2: Convert to fraction form
    282,751.76/390,198.22 = 161,894.90/x
  3. Step 3: Cross multiply
    282,751.76x = 390,198.22 × 161,894.90
  4. Step 4: Simplify right side
    282,751.76x = 63,171,101,807.08
  5. Step 5: Solve for x
    x = 63,171,101,807.08/282,751.76
  6. Step 6: Final answer
    x = 223,415.42

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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.