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Finding the Fourth Proportional to 346,102, 477,620.76 and 187,126

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Solution

The fourth proportional to 346,102, 477,620.76 and 187,126 is: 258,233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,102 : 477,620.76 = 187,126 : x
  2. Step 2: Convert to fraction form
    346,102/477,620.76 = 187,126/x
  3. Step 3: Cross multiply
    346,102x = 477,620.76 × 187,126
  4. Step 4: Simplify right side
    346,102x = 89,375,262,335.76
  5. Step 5: Solve for x
    x = 89,375,262,335.76/346,102
  6. Step 6: Final answer
    x = 258,233.88

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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.