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Finding the Fourth Proportional to 403,788.80, 605,002.80 and 319,224.80

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Solution

The fourth proportional to 403,788.80, 605,002.80 and 319,224.80 is: 478,299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,788.80 : 605,002.80 = 319,224.80 : x
  2. Step 2: Convert to fraction form
    403,788.80/605,002.80 = 319,224.80/x
  3. Step 3: Cross multiply
    403,788.80x = 605,002.80 × 319,224.80
  4. Step 4: Simplify right side
    403,788.80x = 193,131,897,829.44
  5. Step 5: Solve for x
    x = 193,131,897,829.44/403,788.80
  6. Step 6: Final answer
    x = 478,299.29

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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.