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Finding the Fourth Proportional to 610,821, 915,918.48 and 322,787.52

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Solution

The fourth proportional to 610,821, 915,918.48 and 322,787.52 is: 484,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,821 : 915,918.48 = 322,787.52 : x
  2. Step 2: Convert to fraction form
    610,821/915,918.48 = 322,787.52/x
  3. Step 3: Cross multiply
    610,821x = 915,918.48 × 322,787.52
  4. Step 4: Simplify right side
    610,821x = 295,647,054,681.37
  5. Step 5: Solve for x
    x = 295,647,054,681.37/610,821
  6. Step 6: Final answer
    x = 484,015.87

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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.