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Finding the Fourth Proportional to 516,638.58, 774,956.76 and 142,660.50

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Solution

The fourth proportional to 516,638.58, 774,956.76 and 142,660.50 is: 213,990.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,638.58 : 774,956.76 = 142,660.50 : x
  2. Step 2: Convert to fraction form
    516,638.58/774,956.76 = 142,660.50/x
  3. Step 3: Cross multiply
    516,638.58x = 774,956.76 × 142,660.50
  4. Step 4: Simplify right side
    516,638.58x = 110,555,718,859.98
  5. Step 5: Solve for x
    x = 110,555,718,859.98/516,638.58
  6. Step 6: Final answer
    x = 213,990.44

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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.