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Finding the Fourth Proportional to 360,549, 497,538.05 and 199,394.64

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Solution

The fourth proportional to 360,549, 497,538.05 and 199,394.64 is: 275,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,549 : 497,538.05 = 199,394.64 : x
  2. Step 2: Convert to fraction form
    360,549/497,538.05 = 199,394.64/x
  3. Step 3: Cross multiply
    360,549x = 497,538.05 × 199,394.64
  4. Step 4: Simplify right side
    360,549x = 99,206,419,369.08
  5. Step 5: Solve for x
    x = 99,206,419,369.08/360,549
  6. Step 6: Final answer
    x = 275,153.78

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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.