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Finding the Fourth Proportional to 501,578.09, 752,578.19 and 312,196.85

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Solution

The fourth proportional to 501,578.09, 752,578.19 and 312,196.85 is: 468,426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,578.09 : 752,578.19 = 312,196.85 : x
  2. Step 2: Convert to fraction form
    501,578.09/752,578.19 = 312,196.85/x
  3. Step 3: Cross multiply
    501,578.09x = 752,578.19 × 312,196.85
  4. Step 4: Simplify right side
    501,578.09x = 234,952,539,791.45
  5. Step 5: Solve for x
    x = 234,952,539,791.45/501,578.09
  6. Step 6: Final answer
    x = 468,426.64

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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.