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Finding the Fourth Proportional to 291,512.52, 402,276.78 and 164,199.96

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Solution

The fourth proportional to 291,512.52, 402,276.78 and 164,199.96 is: 226,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,512.52 : 402,276.78 = 164,199.96 : x
  2. Step 2: Convert to fraction form
    291,512.52/402,276.78 = 164,199.96/x
  3. Step 3: Cross multiply
    291,512.52x = 402,276.78 × 164,199.96
  4. Step 4: Simplify right side
    291,512.52x = 66,053,831,184.93
  5. Step 5: Solve for x
    x = 66,053,831,184.93/291,512.52
  6. Step 6: Final answer
    x = 226,590.03

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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.