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Finding the Fourth Proportional to 501,048, 691,809.12 and 322,511.04

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Solution

The fourth proportional to 501,048, 691,809.12 and 322,511.04 is: 445,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,048 : 691,809.12 = 322,511.04 : x
  2. Step 2: Convert to fraction form
    501,048/691,809.12 = 322,511.04/x
  3. Step 3: Cross multiply
    501,048x = 691,809.12 × 322,511.04
  4. Step 4: Simplify right side
    501,048x = 223,116,078,772.69
  5. Step 5: Solve for x
    x = 223,116,078,772.69/501,048
  6. Step 6: Final answer
    x = 445,298.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.