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Finding the Fourth Proportional to 282,097.18, 389,320.47 and 161,214.86

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Solution

The fourth proportional to 282,097.18, 389,320.47 and 161,214.86 is: 222,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,097.18 : 389,320.47 = 161,214.86 : x
  2. Step 2: Convert to fraction form
    282,097.18/389,320.47 = 161,214.86/x
  3. Step 3: Cross multiply
    282,097.18x = 389,320.47 × 161,214.86
  4. Step 4: Simplify right side
    282,097.18x = 62,764,243,119.58
  5. Step 5: Solve for x
    x = 62,764,243,119.58/282,097.18
  6. Step 6: Final answer
    x = 222,491.57

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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.