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Finding the Fourth Proportional to 299,882.28, 414,147.44 and 259,401.72

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Solution

The fourth proportional to 299,882.28, 414,147.44 and 259,401.72 is: 358,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,882.28 : 414,147.44 = 259,401.72 : x
  2. Step 2: Convert to fraction form
    299,882.28/414,147.44 = 259,401.72/x
  3. Step 3: Cross multiply
    299,882.28x = 414,147.44 × 259,401.72
  4. Step 4: Simplify right side
    299,882.28x = 107,430,558,269.60
  5. Step 5: Solve for x
    x = 107,430,558,269.60/299,882.28
  6. Step 6: Final answer
    x = 358,242.44

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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.