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Finding the Fourth Proportional to 394,099.02, 543,289.80 and 280,724.94

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Solution

The fourth proportional to 394,099.02, 543,289.80 and 280,724.94 is: 386,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,099.02 : 543,289.80 = 280,724.94 : x
  2. Step 2: Convert to fraction form
    394,099.02/543,289.80 = 280,724.94/x
  3. Step 3: Cross multiply
    394,099.02x = 543,289.80 × 280,724.94
  4. Step 4: Simplify right side
    394,099.02x = 152,514,996,507.61
  5. Step 5: Solve for x
    x = 152,514,996,507.61/394,099.02
  6. Step 6: Final answer
    x = 386,996.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.