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Finding the Fourth Proportional to 882,790, 1,324,188.24 and 217,942

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Solution

The fourth proportional to 882,790, 1,324,188.24 and 217,942 is: 326,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,790 : 1,324,188.24 = 217,942 : x
  2. Step 2: Convert to fraction form
    882,790/1,324,188.24 = 217,942/x
  3. Step 3: Cross multiply
    882,790x = 1,324,188.24 × 217,942
  4. Step 4: Simplify right side
    882,790x = 288,596,233,402.08
  5. Step 5: Solve for x
    x = 288,596,233,402.08/882,790
  6. Step 6: Final answer
    x = 326,913.80

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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.