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Finding the Fourth Proportional to 501,805.56, 752,918.82 and 312,424.44

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Solution

The fourth proportional to 501,805.56, 752,918.82 and 312,424.44 is: 468,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,805.56 : 752,918.82 = 312,424.44 : x
  2. Step 2: Convert to fraction form
    501,805.56/752,918.82 = 312,424.44/x
  3. Step 3: Cross multiply
    501,805.56x = 752,918.82 × 312,424.44
  4. Step 4: Simplify right side
    501,805.56x = 235,230,240,703.96
  5. Step 5: Solve for x
    x = 235,230,240,703.96/501,805.56
  6. Step 6: Final answer
    x = 468,767.70

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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.