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Finding the Fourth Proportional to 291,249.60, 401,907.36 and 163,920

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Solution

The fourth proportional to 291,249.60, 401,907.36 and 163,920 is: 226,199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,249.60 : 401,907.36 = 163,920 : x
  2. Step 2: Convert to fraction form
    291,249.60/401,907.36 = 163,920/x
  3. Step 3: Cross multiply
    291,249.60x = 401,907.36 × 163,920
  4. Step 4: Simplify right side
    291,249.60x = 65,880,654,451.20
  5. Step 5: Solve for x
    x = 65,880,654,451.20/291,249.60
  6. Step 6: Final answer
    x = 226,199.98

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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.