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Finding the Fourth Proportional to 561,915.78, 842,874.42 and 229,491.78

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Solution

The fourth proportional to 561,915.78, 842,874.42 and 229,491.78 is: 344,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,915.78 : 842,874.42 = 229,491.78 : x
  2. Step 2: Convert to fraction form
    561,915.78/842,874.42 = 229,491.78/x
  3. Step 3: Cross multiply
    561,915.78x = 842,874.42 × 229,491.78
  4. Step 4: Simplify right side
    561,915.78x = 193,432,750,962.27
  5. Step 5: Solve for x
    x = 193,432,750,962.27/561,915.78
  6. Step 6: Final answer
    x = 344,237.98

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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.