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Finding the Fourth Proportional to 285,431.28, 428,061.60 and 178,976.94

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Solution

The fourth proportional to 285,431.28, 428,061.60 and 178,976.94 is: 268,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,431.28 : 428,061.60 = 178,976.94 : x
  2. Step 2: Convert to fraction form
    285,431.28/428,061.60 = 178,976.94/x
  3. Step 3: Cross multiply
    285,431.28x = 428,061.60 × 178,976.94
  4. Step 4: Simplify right side
    285,431.28x = 76,613,155,299.50
  5. Step 5: Solve for x
    x = 76,613,155,299.50/285,431.28
  6. Step 6: Final answer
    x = 268,411.91

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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.