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Finding the Fourth Proportional to 403,786.80, 604,999.80 and 319,222.80

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Solution

The fourth proportional to 403,786.80, 604,999.80 and 319,222.80 is: 478,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,786.80 : 604,999.80 = 319,222.80 : x
  2. Step 2: Convert to fraction form
    403,786.80/604,999.80 = 319,222.80/x
  3. Step 3: Cross multiply
    403,786.80x = 604,999.80 × 319,222.80
  4. Step 4: Simplify right side
    403,786.80x = 193,129,730,155.44
  5. Step 5: Solve for x
    x = 193,129,730,155.44/403,786.80
  6. Step 6: Final answer
    x = 478,296.29

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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.