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Finding the Fourth Proportional to 254,325.48, 381,491.85 and 76,834.02

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Solution

The fourth proportional to 254,325.48, 381,491.85 and 76,834.02 is: 115,252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,325.48 : 381,491.85 = 76,834.02 : x
  2. Step 2: Convert to fraction form
    254,325.48/381,491.85 = 76,834.02/x
  3. Step 3: Cross multiply
    254,325.48x = 381,491.85 × 76,834.02
  4. Step 4: Simplify right side
    254,325.48x = 29,311,552,432.74
  5. Step 5: Solve for x
    x = 29,311,552,432.74/254,325.48
  6. Step 6: Final answer
    x = 115,252.13

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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.