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Finding the Fourth Proportional to 333,291.78, 499,938.75 and 80,571.78

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Solution

The fourth proportional to 333,291.78, 499,938.75 and 80,571.78 is: 120,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,291.78 : 499,938.75 = 80,571.78 : x
  2. Step 2: Convert to fraction form
    333,291.78/499,938.75 = 80,571.78/x
  3. Step 3: Cross multiply
    333,291.78x = 499,938.75 × 80,571.78
  4. Step 4: Simplify right side
    333,291.78x = 40,280,954,978.48
  5. Step 5: Solve for x
    x = 40,280,954,978.48/333,291.78
  6. Step 6: Final answer
    x = 120,857.93

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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.