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Finding the Fourth Proportional to 299,874.28, 414,136.38 and 259,393.72

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Solution

The fourth proportional to 299,874.28, 414,136.38 and 259,393.72 is: 358,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,874.28 : 414,136.38 = 259,393.72 : x
  2. Step 2: Convert to fraction form
    299,874.28/414,136.38 = 259,393.72/x
  3. Step 3: Cross multiply
    299,874.28x = 414,136.38 × 259,393.72
  4. Step 4: Simplify right side
    299,874.28x = 107,424,376,195.53
  5. Step 5: Solve for x
    x = 107,424,376,195.53/299,874.28
  6. Step 6: Final answer
    x = 358,231.38

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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.