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Finding the Fourth Proportional to 360,551, 497,540.80 and 199,396.64

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Solution

The fourth proportional to 360,551, 497,540.80 and 199,396.64 is: 275,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,551 : 497,540.80 = 199,396.64 : x
  2. Step 2: Convert to fraction form
    360,551/497,540.80 = 199,396.64/x
  3. Step 3: Cross multiply
    360,551x = 497,540.80 × 199,396.64
  4. Step 4: Simplify right side
    360,551x = 99,207,963,782.91
  5. Step 5: Solve for x
    x = 99,207,963,782.91/360,551
  6. Step 6: Final answer
    x = 275,156.53

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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.