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Finding the Fourth Proportional to 502,954.12, 694,175.16 and 288,238.12

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Solution

The fourth proportional to 502,954.12, 694,175.16 and 288,238.12 is: 397,825.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,954.12 : 694,175.16 = 288,238.12 : x
  2. Step 2: Convert to fraction form
    502,954.12/694,175.16 = 288,238.12/x
  3. Step 3: Cross multiply
    502,954.12x = 694,175.16 × 288,238.12
  4. Step 4: Simplify right side
    502,954.12x = 200,087,743,069.10
  5. Step 5: Solve for x
    x = 200,087,743,069.10/502,954.12
  6. Step 6: Final answer
    x = 397,825.04

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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.