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Finding the Fourth Proportional to 412,373.84, 618,581.21 and 128,257.90

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Solution

The fourth proportional to 412,373.84, 618,581.21 and 128,257.90 is: 192,393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,373.84 : 618,581.21 = 128,257.90 : x
  2. Step 2: Convert to fraction form
    412,373.84/618,581.21 = 128,257.90/x
  3. Step 3: Cross multiply
    412,373.84x = 618,581.21 × 128,257.90
  4. Step 4: Simplify right side
    412,373.84x = 79,337,924,786.32
  5. Step 5: Solve for x
    x = 79,337,924,786.32/412,373.84
  6. Step 6: Final answer
    x = 192,393.21

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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.