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Finding the Fourth Proportional to 333,122.80, 499,538.40 and 133,376.80

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Solution

The fourth proportional to 333,122.80, 499,538.40 and 133,376.80 is: 200,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,122.80 : 499,538.40 = 133,376.80 : x
  2. Step 2: Convert to fraction form
    333,122.80/499,538.40 = 133,376.80/x
  3. Step 3: Cross multiply
    333,122.80x = 499,538.40 × 133,376.80
  4. Step 4: Simplify right side
    333,122.80x = 66,626,833,269.12
  5. Step 5: Solve for x
    x = 66,626,833,269.12/333,122.80
  6. Step 6: Final answer
    x = 200,006.82

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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.