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Finding the Fourth Proportional to 285,607.28, 427,989.76 and 159,073.22

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Solution

The fourth proportional to 285,607.28, 427,989.76 and 159,073.22 is: 238,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,607.28 : 427,989.76 = 159,073.22 : x
  2. Step 2: Convert to fraction form
    285,607.28/427,989.76 = 159,073.22/x
  3. Step 3: Cross multiply
    285,607.28x = 427,989.76 × 159,073.22
  4. Step 4: Simplify right side
    285,607.28x = 68,081,709,922.52
  5. Step 5: Solve for x
    x = 68,081,709,922.52/285,607.28
  6. Step 6: Final answer
    x = 238,375.26

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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.