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Finding the Fourth Proportional to 346,105, 477,624.90 and 187,129

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Solution

The fourth proportional to 346,105, 477,624.90 and 187,129 is: 258,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,105 : 477,624.90 = 187,129 : x
  2. Step 2: Convert to fraction form
    346,105/477,624.90 = 187,129/x
  3. Step 3: Cross multiply
    346,105x = 477,624.90 × 187,129
  4. Step 4: Simplify right side
    346,105x = 89,377,469,912.10
  5. Step 5: Solve for x
    x = 89,377,469,912.10/346,105
  6. Step 6: Final answer
    x = 258,238.02

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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.