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Finding the Fourth Proportional to 398,616.20, 598,029.90 and 173,880.20

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Solution

The fourth proportional to 398,616.20, 598,029.90 and 173,880.20 is: 260,866.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,616.20 : 598,029.90 = 173,880.20 : x
  2. Step 2: Convert to fraction form
    398,616.20/598,029.90 = 173,880.20/x
  3. Step 3: Cross multiply
    398,616.20x = 598,029.90 × 173,880.20
  4. Step 4: Simplify right side
    398,616.20x = 103,985,558,617.98
  5. Step 5: Solve for x
    x = 103,985,558,617.98/398,616.20
  6. Step 6: Final answer
    x = 260,866.36

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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.