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Finding the Fourth Proportional to 664,371.92, 997,259.28 and 309,728

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Solution

The fourth proportional to 664,371.92, 997,259.28 and 309,728 is: 464,918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,371.92 : 997,259.28 = 309,728 : x
  2. Step 2: Convert to fraction form
    664,371.92/997,259.28 = 309,728/x
  3. Step 3: Cross multiply
    664,371.92x = 997,259.28 × 309,728
  4. Step 4: Simplify right side
    664,371.92x = 308,879,122,275.84
  5. Step 5: Solve for x
    x = 308,879,122,275.84/664,371.92
  6. Step 6: Final answer
    x = 464,918.99

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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.