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Finding the Fourth Proportional to 400,708, 552,994.32 and 221,860

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Solution

The fourth proportional to 400,708, 552,994.32 and 221,860 is: 306,176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,708 : 552,994.32 = 221,860 : x
  2. Step 2: Convert to fraction form
    400,708/552,994.32 = 221,860/x
  3. Step 3: Cross multiply
    400,708x = 552,994.32 × 221,860
  4. Step 4: Simplify right side
    400,708x = 122,687,319,835.20
  5. Step 5: Solve for x
    x = 122,687,319,835.20/400,708
  6. Step 6: Final answer
    x = 306,176.37

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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.