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Finding the Fourth Proportional to 419,392.55, 578,778.10 and 238,121.34

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Solution

The fourth proportional to 419,392.55, 578,778.10 and 238,121.34 is: 328,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,392.55 : 578,778.10 = 238,121.34 : x
  2. Step 2: Convert to fraction form
    419,392.55/578,778.10 = 238,121.34/x
  3. Step 3: Cross multiply
    419,392.55x = 578,778.10 × 238,121.34
  4. Step 4: Simplify right side
    419,392.55x = 137,819,416,734.65
  5. Step 5: Solve for x
    x = 137,819,416,734.65/419,392.55
  6. Step 6: Final answer
    x = 328,616.75

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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.