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Finding the Fourth Proportional to 285,954.21, 428,997.21 and 98,965.71

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Solution

The fourth proportional to 285,954.21, 428,997.21 and 98,965.71 is: 148,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,954.21 : 428,997.21 = 98,965.71 : x
  2. Step 2: Convert to fraction form
    285,954.21/428,997.21 = 98,965.71/x
  3. Step 3: Cross multiply
    285,954.21x = 428,997.21 × 98,965.71
  4. Step 4: Simplify right side
    285,954.21x = 42,456,013,475.67
  5. Step 5: Solve for x
    x = 42,456,013,475.67/285,954.21
  6. Step 6: Final answer
    x = 148,471.37

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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.