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Finding the Fourth Proportional to 346,204, 477,762.96 and 187,228

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Solution

The fourth proportional to 346,204, 477,762.96 and 187,228 is: 258,375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,204 : 477,762.96 = 187,228 : x
  2. Step 2: Convert to fraction form
    346,204/477,762.96 = 187,228/x
  3. Step 3: Cross multiply
    346,204x = 477,762.96 × 187,228
  4. Step 4: Simplify right side
    346,204x = 89,450,603,474.88
  5. Step 5: Solve for x
    x = 89,450,603,474.88/346,204
  6. Step 6: Final answer
    x = 258,375.42

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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.