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Finding the Fourth Proportional to 492,274.78, 738,412.08 and 118,297.78

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Solution

The fourth proportional to 492,274.78, 738,412.08 and 118,297.78 is: 177,446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,274.78 : 738,412.08 = 118,297.78 : x
  2. Step 2: Convert to fraction form
    492,274.78/738,412.08 = 118,297.78/x
  3. Step 3: Cross multiply
    492,274.78x = 738,412.08 × 118,297.78
  4. Step 4: Simplify right side
    492,274.78x = 87,352,509,789.18
  5. Step 5: Solve for x
    x = 87,352,509,789.18/492,274.78
  6. Step 6: Final answer
    x = 177,446.65

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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.