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Finding the Fourth Proportional to 598,640.34, 825,915.20 and 383,898.80

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Solution

The fourth proportional to 598,640.34, 825,915.20 and 383,898.80 is: 529,646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,640.34 : 825,915.20 = 383,898.80 : x
  2. Step 2: Convert to fraction form
    598,640.34/825,915.20 = 383,898.80/x
  3. Step 3: Cross multiply
    598,640.34x = 825,915.20 × 383,898.80
  4. Step 4: Simplify right side
    598,640.34x = 317,067,854,181.76
  5. Step 5: Solve for x
    x = 317,067,854,181.76/598,640.34
  6. Step 6: Final answer
    x = 529,646.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.