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Finding the Fourth Proportional to 417,694.64, 576,281.40 and 236,388.56

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Solution

The fourth proportional to 417,694.64, 576,281.40 and 236,388.56 is: 326,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,694.64 : 576,281.40 = 236,388.56 : x
  2. Step 2: Convert to fraction form
    417,694.64/576,281.40 = 236,388.56/x
  3. Step 3: Cross multiply
    417,694.64x = 576,281.40 × 236,388.56
  4. Step 4: Simplify right side
    417,694.64x = 136,226,330,300.78
  5. Step 5: Solve for x
    x = 136,226,330,300.78/417,694.64
  6. Step 6: Final answer
    x = 326,138.56

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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.