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Finding the Fourth Proportional to 664,649.50, 917,216.32 and 362,843.50

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Solution

The fourth proportional to 664,649.50, 917,216.32 and 362,843.50 is: 500,724.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,649.50 : 917,216.32 = 362,843.50 : x
  2. Step 2: Convert to fraction form
    664,649.50/917,216.32 = 362,843.50/x
  3. Step 3: Cross multiply
    664,649.50x = 917,216.32 × 362,843.50
  4. Step 4: Simplify right side
    664,649.50x = 332,805,979,805.92
  5. Step 5: Solve for x
    x = 332,805,979,805.92/664,649.50
  6. Step 6: Final answer
    x = 500,724.04

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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.