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Finding the Fourth Proportional to 346,843.76, 520,315.10 and 106,977.80

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Solution

The fourth proportional to 346,843.76, 520,315.10 and 106,977.80 is: 160,481.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,843.76 : 520,315.10 = 106,977.80 : x
  2. Step 2: Convert to fraction form
    346,843.76/520,315.10 = 106,977.80/x
  3. Step 3: Cross multiply
    346,843.76x = 520,315.10 × 106,977.80
  4. Step 4: Simplify right side
    346,843.76x = 55,662,164,704.78
  5. Step 5: Solve for x
    x = 55,662,164,704.78/346,843.76
  6. Step 6: Final answer
    x = 160,481.96

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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.