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Finding the Fourth Proportional to 417,408, 576,023.04 and 238,563.84

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Solution

The fourth proportional to 417,408, 576,023.04 and 238,563.84 is: 329,218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,408 : 576,023.04 = 238,563.84 : x
  2. Step 2: Convert to fraction form
    417,408/576,023.04 = 238,563.84/x
  3. Step 3: Cross multiply
    417,408x = 576,023.04 × 238,563.84
  4. Step 4: Simplify right side
    417,408x = 137,418,268,350.87
  5. Step 5: Solve for x
    x = 137,418,268,350.87/417,408
  6. Step 6: Final answer
    x = 329,218.10

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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.