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Finding the Fourth Proportional to 282,696, 424,044.96 and 85,704

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Solution

The fourth proportional to 282,696, 424,044.96 and 85,704 is: 128,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,696 : 424,044.96 = 85,704 : x
  2. Step 2: Convert to fraction form
    282,696/424,044.96 = 85,704/x
  3. Step 3: Cross multiply
    282,696x = 424,044.96 × 85,704
  4. Step 4: Simplify right side
    282,696x = 36,342,349,251.84
  5. Step 5: Solve for x
    x = 36,342,349,251.84/282,696
  6. Step 6: Final answer
    x = 128,556.29

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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.