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Finding the Fourth Proportional to 501,578.70, 752,579.10 and 312,197.46

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Solution

The fourth proportional to 501,578.70, 752,579.10 and 312,197.46 is: 468,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,578.70 : 752,579.10 = 312,197.46 : x
  2. Step 2: Convert to fraction form
    501,578.70/752,579.10 = 312,197.46/x
  3. Step 3: Cross multiply
    501,578.70x = 752,579.10 × 312,197.46
  4. Step 4: Simplify right side
    501,578.70x = 234,953,283,469.09
  5. Step 5: Solve for x
    x = 234,953,283,469.09/501,578.70
  6. Step 6: Final answer
    x = 468,427.55

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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.