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Finding the Fourth Proportional to 516,458.80, 774,732.83 and 142,481.80

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Solution

The fourth proportional to 516,458.80, 774,732.83 and 142,481.80 is: 213,735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,458.80 : 774,732.83 = 142,481.80 : x
  2. Step 2: Convert to fraction form
    516,458.80/774,732.83 = 142,481.80/x
  3. Step 3: Cross multiply
    516,458.80x = 774,732.83 × 142,481.80
  4. Step 4: Simplify right side
    516,458.80x = 110,385,328,137.49
  5. Step 5: Solve for x
    x = 110,385,328,137.49/516,458.80
  6. Step 6: Final answer
    x = 213,735.01

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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.