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Finding the Fourth Proportional to 538,915.92, 743,694.16 and 297,220.96

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Solution

The fourth proportional to 538,915.92, 743,694.16 and 297,220.96 is: 410,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,915.92 : 743,694.16 = 297,220.96 : x
  2. Step 2: Convert to fraction form
    538,915.92/743,694.16 = 297,220.96/x
  3. Step 3: Cross multiply
    538,915.92x = 743,694.16 × 297,220.96
  4. Step 4: Simplify right side
    538,915.92x = 221,041,492,181.59
  5. Step 5: Solve for x
    x = 221,041,492,181.59/538,915.92
  6. Step 6: Final answer
    x = 410,159.51

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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.