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Finding the Fourth Proportional to 412,422.30, 618,633.45 and 319,110.30

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Solution

The fourth proportional to 412,422.30, 618,633.45 and 319,110.30 is: 478,665.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,422.30 : 618,633.45 = 319,110.30 : x
  2. Step 2: Convert to fraction form
    412,422.30/618,633.45 = 319,110.30/x
  3. Step 3: Cross multiply
    412,422.30x = 618,633.45 × 319,110.30
  4. Step 4: Simplify right side
    412,422.30x = 197,412,305,819.54
  5. Step 5: Solve for x
    x = 197,412,305,819.54/412,422.30
  6. Step 6: Final answer
    x = 478,665.45

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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.