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Finding the Fourth Proportional to 341,730.20, 512,741.10 and 164,145.80

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Solution

The fourth proportional to 341,730.20, 512,741.10 and 164,145.80 is: 246,288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,730.20 : 512,741.10 = 164,145.80 : x
  2. Step 2: Convert to fraction form
    341,730.20/512,741.10 = 164,145.80/x
  3. Step 3: Cross multiply
    341,730.20x = 512,741.10 × 164,145.80
  4. Step 4: Simplify right side
    341,730.20x = 84,164,298,052.38
  5. Step 5: Solve for x
    x = 84,164,298,052.38/341,730.20
  6. Step 6: Final answer
    x = 246,288.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.