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Finding the Fourth Proportional to 360,781.29, 497,871.16 and 199,636.45

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Solution

The fourth proportional to 360,781.29, 497,871.16 and 199,636.45 is: 275,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,781.29 : 497,871.16 = 199,636.45 : x
  2. Step 2: Convert to fraction form
    360,781.29/497,871.16 = 199,636.45/x
  3. Step 3: Cross multiply
    360,781.29x = 497,871.16 × 199,636.45
  4. Step 4: Simplify right side
    360,781.29x = 99,393,229,196.01
  5. Step 5: Solve for x
    x = 99,393,229,196.01/360,781.29
  6. Step 6: Final answer
    x = 275,494.41

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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.