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Finding the Fourth Proportional to 516,156, 774,234 and 142,179.04

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Solution

The fourth proportional to 516,156, 774,234 and 142,179.04 is: 213,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,156 : 774,234 = 142,179.04 : x
  2. Step 2: Convert to fraction form
    516,156/774,234 = 142,179.04/x
  3. Step 3: Cross multiply
    516,156x = 774,234 × 142,179.04
  4. Step 4: Simplify right side
    516,156x = 110,079,846,855.36
  5. Step 5: Solve for x
    x = 110,079,846,855.36/516,156
  6. Step 6: Final answer
    x = 213,268.56

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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.