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Finding the Fourth Proportional to 299,873.28, 414,135 and 259,392.72

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Solution

The fourth proportional to 299,873.28, 414,135 and 259,392.72 is: 358,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,873.28 : 414,135 = 259,392.72 : x
  2. Step 2: Convert to fraction form
    299,873.28/414,135 = 259,392.72/x
  3. Step 3: Cross multiply
    299,873.28x = 414,135 × 259,392.72
  4. Step 4: Simplify right side
    299,873.28x = 107,423,604,097.20
  5. Step 5: Solve for x
    x = 107,423,604,097.20/299,873.28
  6. Step 6: Final answer
    x = 358,230.00

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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.