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Finding the Fourth Proportional to 472,978.80, 709,813.80 and 333,010.80

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Solution

The fourth proportional to 472,978.80, 709,813.80 and 333,010.80 is: 499,759.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,978.80 : 709,813.80 = 333,010.80 : x
  2. Step 2: Convert to fraction form
    472,978.80/709,813.80 = 333,010.80/x
  3. Step 3: Cross multiply
    472,978.80x = 709,813.80 × 333,010.80
  4. Step 4: Simplify right side
    472,978.80x = 236,375,661,389.04
  5. Step 5: Solve for x
    x = 236,375,661,389.04/472,978.80
  6. Step 6: Final answer
    x = 499,759.53

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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.