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Finding the Fourth Proportional to 287,699.69, 431,424.47 and 82,489.14

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Solution

The fourth proportional to 287,699.69, 431,424.47 and 82,489.14 is: 123,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,699.69 : 431,424.47 = 82,489.14 : x
  2. Step 2: Convert to fraction form
    287,699.69/431,424.47 = 82,489.14/x
  3. Step 3: Cross multiply
    287,699.69x = 431,424.47 × 82,489.14
  4. Step 4: Simplify right side
    287,699.69x = 35,587,833,092.81
  5. Step 5: Solve for x
    x = 35,587,833,092.81/287,699.69
  6. Step 6: Final answer
    x = 123,697.85

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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.