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Finding the Fourth Proportional to 412,014.75, 618,025.98 and 145,820.40

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Solution

The fourth proportional to 412,014.75, 618,025.98 and 145,820.40 is: 218,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,014.75 : 618,025.98 = 145,820.40 : x
  2. Step 2: Convert to fraction form
    412,014.75/618,025.98 = 145,820.40/x
  3. Step 3: Cross multiply
    412,014.75x = 618,025.98 × 145,820.40
  4. Step 4: Simplify right side
    412,014.75x = 90,120,795,613.99
  5. Step 5: Solve for x
    x = 90,120,795,613.99/412,014.75
  6. Step 6: Final answer
    x = 218,731.96

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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.