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Finding the Fourth Proportional to 478,829.70, 718,244.55 and 419,780.70

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Solution

The fourth proportional to 478,829.70, 718,244.55 and 419,780.70 is: 629,671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,829.70 : 718,244.55 = 419,780.70 : x
  2. Step 2: Convert to fraction form
    478,829.70/718,244.55 = 419,780.70/x
  3. Step 3: Cross multiply
    478,829.70x = 718,244.55 × 419,780.70
  4. Step 4: Simplify right side
    478,829.70x = 301,505,199,970.19
  5. Step 5: Solve for x
    x = 301,505,199,970.19/478,829.70
  6. Step 6: Final answer
    x = 629,671.05

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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.