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Finding the Fourth Proportional to 398,621.94, 598,078.71 and 185,491.50

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Solution

The fourth proportional to 398,621.94, 598,078.71 and 185,491.50 is: 278,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,621.94 : 598,078.71 = 185,491.50 : x
  2. Step 2: Convert to fraction form
    398,621.94/598,078.71 = 185,491.50/x
  3. Step 3: Cross multiply
    398,621.94x = 598,078.71 × 185,491.50
  4. Step 4: Simplify right side
    398,621.94x = 110,938,517,035.97
  5. Step 5: Solve for x
    x = 110,938,517,035.97/398,621.94
  6. Step 6: Final answer
    x = 278,305.10

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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.