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Finding the Fourth Proportional to 663,398.08, 914,765.94 and 448,164.48

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Solution

The fourth proportional to 663,398.08, 914,765.94 and 448,164.48 is: 617,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,398.08 : 914,765.94 = 448,164.48 : x
  2. Step 2: Convert to fraction form
    663,398.08/914,765.94 = 448,164.48/x
  3. Step 3: Cross multiply
    663,398.08x = 914,765.94 × 448,164.48
  4. Step 4: Simplify right side
    663,398.08x = 409,965,601,821.81
  5. Step 5: Solve for x
    x = 409,965,601,821.81/663,398.08
  6. Step 6: Final answer
    x = 617,978.28

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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.