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Finding the Fourth Proportional to 282,345.44, 423,560.69 and 82,640.75

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Solution

The fourth proportional to 282,345.44, 423,560.69 and 82,640.75 is: 123,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,345.44 : 423,560.69 = 82,640.75 : x
  2. Step 2: Convert to fraction form
    282,345.44/423,560.69 = 82,640.75/x
  3. Step 3: Cross multiply
    282,345.44x = 423,560.69 × 82,640.75
  4. Step 4: Simplify right side
    282,345.44x = 35,003,372,678.91
  5. Step 5: Solve for x
    x = 35,003,372,678.91/282,345.44
  6. Step 6: Final answer
    x = 123,973.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.