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Finding the Fourth Proportional to 412,602.16, 618,911.88 and 132,118.60

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Solution

The fourth proportional to 412,602.16, 618,911.88 and 132,118.60 is: 198,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,602.16 : 618,911.88 = 132,118.60 : x
  2. Step 2: Convert to fraction form
    412,602.16/618,911.88 = 132,118.60/x
  3. Step 3: Cross multiply
    412,602.16x = 618,911.88 × 132,118.60
  4. Step 4: Simplify right side
    412,602.16x = 81,769,771,108.97
  5. Step 5: Solve for x
    x = 81,769,771,108.97/412,602.16
  6. Step 6: Final answer
    x = 198,180.67

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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.