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Finding the Fourth Proportional to 206,440, 309,712 and 58,696

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Solution

The fourth proportional to 206,440, 309,712 and 58,696 is: 88,058.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,440 : 309,712 = 58,696 : x
  2. Step 2: Convert to fraction form
    206,440/309,712 = 58,696/x
  3. Step 3: Cross multiply
    206,440x = 309,712 × 58,696
  4. Step 4: Simplify right side
    206,440x = 18,178,855,552
  5. Step 5: Solve for x
    x = 18,178,855,552/206,440
  6. Step 6: Final answer
    x = 88,058.78

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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.