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Finding the Fourth Proportional to 412,839.20, 619,258.80 and 132,384.80

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Solution

The fourth proportional to 412,839.20, 619,258.80 and 132,384.80 is: 198,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,839.20 : 619,258.80 = 132,384.80 : x
  2. Step 2: Convert to fraction form
    412,839.20/619,258.80 = 132,384.80/x
  3. Step 3: Cross multiply
    412,839.20x = 619,258.80 × 132,384.80
  4. Step 4: Simplify right side
    412,839.20x = 81,980,452,386.24
  5. Step 5: Solve for x
    x = 81,980,452,386.24/412,839.20
  6. Step 6: Final answer
    x = 198,577.20

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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.