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Finding the Fourth Proportional to 491,007.88, 736,512.54 and 149,454.28

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Solution

The fourth proportional to 491,007.88, 736,512.54 and 149,454.28 is: 224,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,007.88 : 736,512.54 = 149,454.28 : x
  2. Step 2: Convert to fraction form
    491,007.88/736,512.54 = 149,454.28/x
  3. Step 3: Cross multiply
    491,007.88x = 736,512.54 × 149,454.28
  4. Step 4: Simplify right side
    491,007.88x = 110,074,951,376.67
  5. Step 5: Solve for x
    x = 110,074,951,376.67/491,007.88
  6. Step 6: Final answer
    x = 224,181.64

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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.