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Finding the Fourth Proportional to 551,691.69, 827,635.95 and 214,915.56

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Solution

The fourth proportional to 551,691.69, 827,635.95 and 214,915.56 is: 322,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,691.69 : 827,635.95 = 214,915.56 : x
  2. Step 2: Convert to fraction form
    551,691.69/827,635.95 = 214,915.56/x
  3. Step 3: Cross multiply
    551,691.69x = 827,635.95 × 214,915.56
  4. Step 4: Simplify right side
    551,691.69x = 177,871,843,670.38
  5. Step 5: Solve for x
    x = 177,871,843,670.38/551,691.69
  6. Step 6: Final answer
    x = 322,411.68

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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.