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Finding the Fourth Proportional to 253,420.20, 349,317.84 and 199,620

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Solution

The fourth proportional to 253,420.20, 349,317.84 and 199,620 is: 275,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,420.20 : 349,317.84 = 199,620 : x
  2. Step 2: Convert to fraction form
    253,420.20/349,317.84 = 199,620/x
  3. Step 3: Cross multiply
    253,420.20x = 349,317.84 × 199,620
  4. Step 4: Simplify right side
    253,420.20x = 69,730,827,220.80
  5. Step 5: Solve for x
    x = 69,730,827,220.80/253,420.20
  6. Step 6: Final answer
    x = 275,158.91

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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.