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Finding the Fourth Proportional to 282,491.83, 389,742.19 and 161,589.07

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Solution

The fourth proportional to 282,491.83, 389,742.19 and 161,589.07 is: 222,937.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,491.83 : 389,742.19 = 161,589.07 : x
  2. Step 2: Convert to fraction form
    282,491.83/389,742.19 = 161,589.07/x
  3. Step 3: Cross multiply
    282,491.83x = 389,742.19 × 161,589.07
  4. Step 4: Simplify right side
    282,491.83x = 62,978,078,021.86
  5. Step 5: Solve for x
    x = 62,978,078,021.86/282,491.83
  6. Step 6: Final answer
    x = 222,937.70

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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.