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Finding the Fourth Proportional to 285,838.52, 428,761.40 and 108,297.84

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Solution

The fourth proportional to 285,838.52, 428,761.40 and 108,297.84 is: 162,448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,838.52 : 428,761.40 = 108,297.84 : x
  2. Step 2: Convert to fraction form
    285,838.52/428,761.40 = 108,297.84/x
  3. Step 3: Cross multiply
    285,838.52x = 428,761.40 × 108,297.84
  4. Step 4: Simplify right side
    285,838.52x = 46,433,933,495.38
  5. Step 5: Solve for x
    x = 46,433,933,495.38/285,838.52
  6. Step 6: Final answer
    x = 162,448.13

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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.