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Finding the Fourth Proportional to 221,698.70, 332,548.05 and 133,052.30

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Solution

The fourth proportional to 221,698.70, 332,548.05 and 133,052.30 is: 199,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,698.70 : 332,548.05 = 133,052.30 : x
  2. Step 2: Convert to fraction form
    221,698.70/332,548.05 = 133,052.30/x
  3. Step 3: Cross multiply
    221,698.70x = 332,548.05 × 133,052.30
  4. Step 4: Simplify right side
    221,698.70x = 44,246,282,913.02
  5. Step 5: Solve for x
    x = 44,246,282,913.02/221,698.70
  6. Step 6: Final answer
    x = 199,578.45

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1.5x scale

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.