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Finding the Fourth Proportional to 342,121.20, 513,473.40 and 152,872.80

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Solution

The fourth proportional to 342,121.20, 513,473.40 and 152,872.80 is: 229,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,121.20 : 513,473.40 = 152,872.80 : x
  2. Step 2: Convert to fraction form
    342,121.20/513,473.40 = 152,872.80/x
  3. Step 3: Cross multiply
    342,121.20x = 513,473.40 × 152,872.80
  4. Step 4: Simplify right side
    342,121.20x = 78,496,116,383.52
  5. Step 5: Solve for x
    x = 78,496,116,383.52/342,121.20
  6. Step 6: Final answer
    x = 229,439.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.