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Finding the Fourth Proportional to 516,643.58, 774,964.26 and 142,665.50

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Solution

The fourth proportional to 516,643.58, 774,964.26 and 142,665.50 is: 213,997.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,643.58 : 774,964.26 = 142,665.50 : x
  2. Step 2: Convert to fraction form
    516,643.58/774,964.26 = 142,665.50/x
  3. Step 3: Cross multiply
    516,643.58x = 774,964.26 × 142,665.50
  4. Step 4: Simplify right side
    516,643.58x = 110,560,663,635.03
  5. Step 5: Solve for x
    x = 110,560,663,635.03/516,643.58
  6. Step 6: Final answer
    x = 213,997.94

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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.