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Finding the Fourth Proportional to 254,269.76, 381,423.36 and 67,280

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Solution

The fourth proportional to 254,269.76, 381,423.36 and 67,280 is: 100,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,269.76 : 381,423.36 = 67,280 : x
  2. Step 2: Convert to fraction form
    254,269.76/381,423.36 = 67,280/x
  3. Step 3: Cross multiply
    254,269.76x = 381,423.36 × 67,280
  4. Step 4: Simplify right side
    254,269.76x = 25,662,163,660.80
  5. Step 5: Solve for x
    x = 25,662,163,660.80/254,269.76
  6. Step 6: Final answer
    x = 100,924.95

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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.