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Finding the Fourth Proportional to 381,688.50, 572,532.78 and 119,032.50

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Solution

The fourth proportional to 381,688.50, 572,532.78 and 119,032.50 is: 178,548.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,688.50 : 572,532.78 = 119,032.50 : x
  2. Step 2: Convert to fraction form
    381,688.50/572,532.78 = 119,032.50/x
  3. Step 3: Cross multiply
    381,688.50x = 572,532.78 × 119,032.50
  4. Step 4: Simplify right side
    381,688.50x = 68,150,008,135.35
  5. Step 5: Solve for x
    x = 68,150,008,135.35/381,688.50
  6. Step 6: Final answer
    x = 178,548.76

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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.