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Finding the Fourth Proportional to 412,397.75, 618,693.21 and 128,073.78

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Solution

The fourth proportional to 412,397.75, 618,693.21 and 128,073.78 is: 192,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,397.75 : 618,693.21 = 128,073.78 : x
  2. Step 2: Convert to fraction form
    412,397.75/618,693.21 = 128,073.78/x
  3. Step 3: Cross multiply
    412,397.75x = 618,693.21 × 128,073.78
  4. Step 4: Simplify right side
    412,397.75x = 79,238,378,065.03
  5. Step 5: Solve for x
    x = 79,238,378,065.03/412,397.75
  6. Step 6: Final answer
    x = 192,140.67

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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.