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Finding the Fourth Proportional to 412,420.80, 618,631.20 and 319,108.80

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Solution

The fourth proportional to 412,420.80, 618,631.20 and 319,108.80 is: 478,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,420.80 : 618,631.20 = 319,108.80 : x
  2. Step 2: Convert to fraction form
    412,420.80/618,631.20 = 319,108.80/x
  3. Step 3: Cross multiply
    412,420.80x = 618,631.20 × 319,108.80
  4. Step 4: Simplify right side
    412,420.80x = 197,410,659,874.56
  5. Step 5: Solve for x
    x = 197,410,659,874.56/412,420.80
  6. Step 6: Final answer
    x = 478,663.20

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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.