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Finding the Fourth Proportional to 346,198, 477,753.24 and 187,222

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Solution

The fourth proportional to 346,198, 477,753.24 and 187,222 is: 258,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,198 : 477,753.24 = 187,222 : x
  2. Step 2: Convert to fraction form
    346,198/477,753.24 = 187,222/x
  3. Step 3: Cross multiply
    346,198x = 477,753.24 × 187,222
  4. Step 4: Simplify right side
    346,198x = 89,445,917,099.28
  5. Step 5: Solve for x
    x = 89,445,917,099.28/346,198
  6. Step 6: Final answer
    x = 258,366.36

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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.