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Finding the Fourth Proportional to 403,801.80, 605,022.30 and 319,237.80

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Solution

The fourth proportional to 403,801.80, 605,022.30 and 319,237.80 is: 478,318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,801.80 : 605,022.30 = 319,237.80 : x
  2. Step 2: Convert to fraction form
    403,801.80/605,022.30 = 319,237.80/x
  3. Step 3: Cross multiply
    403,801.80x = 605,022.30 × 319,237.80
  4. Step 4: Simplify right side
    403,801.80x = 193,145,988,002.94
  5. Step 5: Solve for x
    x = 193,145,988,002.94/403,801.80
  6. Step 6: Final answer
    x = 478,318.79

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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.