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Finding the Fourth Proportional to 519,730.06, 717,915.82 and 418,138.24

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Solution

The fourth proportional to 519,730.06, 717,915.82 and 418,138.24 is: 577,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,730.06 : 717,915.82 = 418,138.24 : x
  2. Step 2: Convert to fraction form
    519,730.06/717,915.82 = 418,138.24/x
  3. Step 3: Cross multiply
    519,730.06x = 717,915.82 × 418,138.24
  4. Step 4: Simplify right side
    519,730.06x = 300,188,057,442.96
  5. Step 5: Solve for x
    x = 300,188,057,442.96/519,730.06
  6. Step 6: Final answer
    x = 577,584.56

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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.