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Finding the Fourth Proportional to 360,538.54, 497,540.28 and 199,400.38

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Solution

The fourth proportional to 360,538.54, 497,540.28 and 199,400.38 is: 275,170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,538.54 : 497,540.28 = 199,400.38 : x
  2. Step 2: Convert to fraction form
    360,538.54/497,540.28 = 199,400.38/x
  3. Step 3: Cross multiply
    360,538.54x = 497,540.28 × 199,400.38
  4. Step 4: Simplify right side
    360,538.54x = 99,209,720,897.31
  5. Step 5: Solve for x
    x = 99,209,720,897.31/360,538.54
  6. Step 6: Final answer
    x = 275,170.92

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1.5x scale

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.