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Finding the Fourth Proportional to 412,393.12, 618,686.27 and 128,069.15

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Solution

The fourth proportional to 412,393.12, 618,686.27 and 128,069.15 is: 192,133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,393.12 : 618,686.27 = 128,069.15 : x
  2. Step 2: Convert to fraction form
    412,393.12/618,686.27 = 128,069.15/x
  3. Step 3: Cross multiply
    412,393.12x = 618,686.27 × 128,069.15
  4. Step 4: Simplify right side
    412,393.12x = 79,234,623,489.03
  5. Step 5: Solve for x
    x = 79,234,623,489.03/412,393.12
  6. Step 6: Final answer
    x = 192,133.72

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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.