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Finding the Fourth Proportional to 274,830.10, 411,917.10 and 141,641.80

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Solution

The fourth proportional to 274,830.10, 411,917.10 and 141,641.80 is: 212,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,830.10 : 411,917.10 = 141,641.80 : x
  2. Step 2: Convert to fraction form
    274,830.10/411,917.10 = 141,641.80/x
  3. Step 3: Cross multiply
    274,830.10x = 411,917.10 × 141,641.80
  4. Step 4: Simplify right side
    274,830.10x = 58,344,679,494.78
  5. Step 5: Solve for x
    x = 58,344,679,494.78/274,830.10
  6. Step 6: Final answer
    x = 212,293.63

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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.