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Finding the Fourth Proportional to 400,208, 552,304.32 and 221,360

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Solution

The fourth proportional to 400,208, 552,304.32 and 221,360 is: 305,486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,208 : 552,304.32 = 221,360 : x
  2. Step 2: Convert to fraction form
    400,208/552,304.32 = 221,360/x
  3. Step 3: Cross multiply
    400,208x = 552,304.32 × 221,360
  4. Step 4: Simplify right side
    400,208x = 122,258,084,275.20
  5. Step 5: Solve for x
    x = 122,258,084,275.20/400,208
  6. Step 6: Final answer
    x = 305,486.36

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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.