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Finding the Fourth Proportional to 291,175.15, 401,821.53 and 163,850.86

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Solution

The fourth proportional to 291,175.15, 401,821.53 and 163,850.86 is: 226,114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,175.15 : 401,821.53 = 163,850.86 : x
  2. Step 2: Convert to fraction form
    291,175.15/401,821.53 = 163,850.86/x
  3. Step 3: Cross multiply
    291,175.15x = 401,821.53 × 163,850.86
  4. Step 4: Simplify right side
    291,175.15x = 65,838,803,257.02
  5. Step 5: Solve for x
    x = 65,838,803,257.02/291,175.15
  6. Step 6: Final answer
    x = 226,114.09

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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.