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Finding the Fourth Proportional to 285,358.97, 428,066.76 and 105,491.52

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Solution

The fourth proportional to 285,358.97, 428,066.76 and 105,491.52 is: 158,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,358.97 : 428,066.76 = 105,491.52 : x
  2. Step 2: Convert to fraction form
    285,358.97/428,066.76 = 105,491.52/x
  3. Step 3: Cross multiply
    285,358.97x = 428,066.76 × 105,491.52
  4. Step 4: Simplify right side
    285,358.97x = 45,157,413,173.88
  5. Step 5: Solve for x
    x = 45,157,413,173.88/285,358.97
  6. Step 6: Final answer
    x = 158,247.75

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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.