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Finding the Fourth Proportional to 478,606.20, 717,909.30 and 419,557.20

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Solution

The fourth proportional to 478,606.20, 717,909.30 and 419,557.20 is: 629,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,606.20 : 717,909.30 = 419,557.20 : x
  2. Step 2: Convert to fraction form
    478,606.20/717,909.30 = 419,557.20/x
  3. Step 3: Cross multiply
    478,606.20x = 717,909.30 × 419,557.20
  4. Step 4: Simplify right side
    478,606.20x = 301,204,015,761.96
  5. Step 5: Solve for x
    x = 301,204,015,761.96/478,606.20
  6. Step 6: Final answer
    x = 629,335.80

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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.