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Finding the Fourth Proportional to 490,915.92, 736,383 and 153,949.08

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Solution

The fourth proportional to 490,915.92, 736,383 and 153,949.08 is: 230,926.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,915.92 : 736,383 = 153,949.08 : x
  2. Step 2: Convert to fraction form
    490,915.92/736,383 = 153,949.08/x
  3. Step 3: Cross multiply
    490,915.92x = 736,383 × 153,949.08
  4. Step 4: Simplify right side
    490,915.92x = 113,365,485,377.64
  5. Step 5: Solve for x
    x = 113,365,485,377.64/490,915.92
  6. Step 6: Final answer
    x = 230,926.48

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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.