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Finding the Fourth Proportional to 291,137.92, 401,778.18 and 163,818.04

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Solution

The fourth proportional to 291,137.92, 401,778.18 and 163,818.04 is: 226,073.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,137.92 : 401,778.18 = 163,818.04 : x
  2. Step 2: Convert to fraction form
    291,137.92/401,778.18 = 163,818.04/x
  3. Step 3: Cross multiply
    291,137.92x = 401,778.18 × 163,818.04
  4. Step 4: Simplify right side
    291,137.92x = 65,818,513,962.37
  5. Step 5: Solve for x
    x = 65,818,513,962.37/291,137.92
  6. Step 6: Final answer
    x = 226,073.31

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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.