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Finding the Fourth Proportional to 333,978.80, 501,140.43 and 156,503.75

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Solution

The fourth proportional to 333,978.80, 501,140.43 and 156,503.75 is: 234,836.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,978.80 : 501,140.43 = 156,503.75 : x
  2. Step 2: Convert to fraction form
    333,978.80/501,140.43 = 156,503.75/x
  3. Step 3: Cross multiply
    333,978.80x = 501,140.43 × 156,503.75
  4. Step 4: Simplify right side
    333,978.80x = 78,430,356,571.61
  5. Step 5: Solve for x
    x = 78,430,356,571.61/333,978.80
  6. Step 6: Final answer
    x = 234,836.33

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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.