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Finding the Fourth Proportional to 419,052.15, 578,352.92 and 235,311.35

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Solution

The fourth proportional to 419,052.15, 578,352.92 and 235,311.35 is: 324,763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,052.15 : 578,352.92 = 235,311.35 : x
  2. Step 2: Convert to fraction form
    419,052.15/578,352.92 = 235,311.35/x
  3. Step 3: Cross multiply
    419,052.15x = 578,352.92 × 235,311.35
  4. Step 4: Simplify right side
    419,052.15x = 136,093,002,313.32
  5. Step 5: Solve for x
    x = 136,093,002,313.32/419,052.15
  6. Step 6: Final answer
    x = 324,763.88

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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.