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Finding the Fourth Proportional to 346,414.20, 519,694.20 and 109,780.80

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Solution

The fourth proportional to 346,414.20, 519,694.20 and 109,780.80 is: 164,694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,414.20 : 519,694.20 = 109,780.80 : x
  2. Step 2: Convert to fraction form
    346,414.20/519,694.20 = 109,780.80/x
  3. Step 3: Cross multiply
    346,414.20x = 519,694.20 × 109,780.80
  4. Step 4: Simplify right side
    346,414.20x = 57,052,445,031.36
  5. Step 5: Solve for x
    x = 57,052,445,031.36/346,414.20
  6. Step 6: Final answer
    x = 164,694.30

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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.