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Finding the Fourth Proportional to 299,871.28, 414,132.24 and 259,390.72

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Solution

The fourth proportional to 299,871.28, 414,132.24 and 259,390.72 is: 358,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,871.28 : 414,132.24 = 259,390.72 : x
  2. Step 2: Convert to fraction form
    299,871.28/414,132.24 = 259,390.72/x
  3. Step 3: Cross multiply
    299,871.28x = 414,132.24 × 259,390.72
  4. Step 4: Simplify right side
    299,871.28x = 107,422,059,908.81
  5. Step 5: Solve for x
    x = 107,422,059,908.81/299,871.28
  6. Step 6: Final answer
    x = 358,227.24

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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.