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Finding the Fourth Proportional to 340,229.75, 510,418.38 and 103,566.25

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Solution

The fourth proportional to 340,229.75, 510,418.38 and 103,566.25 is: 155,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,229.75 : 510,418.38 = 103,566.25 : x
  2. Step 2: Convert to fraction form
    340,229.75/510,418.38 = 103,566.25/x
  3. Step 3: Cross multiply
    340,229.75x = 510,418.38 × 103,566.25
  4. Step 4: Simplify right side
    340,229.75x = 52,862,114,995.58
  5. Step 5: Solve for x
    x = 52,862,114,995.58/340,229.75
  6. Step 6: Final answer
    x = 155,371.82

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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.