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Finding the Fourth Proportional to 882,742, 1,324,116.24 and 217,894

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Solution

The fourth proportional to 882,742, 1,324,116.24 and 217,894 is: 326,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,742 : 1,324,116.24 = 217,894 : x
  2. Step 2: Convert to fraction form
    882,742/1,324,116.24 = 217,894/x
  3. Step 3: Cross multiply
    882,742x = 1,324,116.24 × 217,894
  4. Step 4: Simplify right side
    882,742x = 288,516,983,998.56
  5. Step 5: Solve for x
    x = 288,516,983,998.56/882,742
  6. Step 6: Final answer
    x = 326,841.80

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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.