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Finding the Fourth Proportional to 274,304.34, 411,453.54 and 208,150.74

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Solution

The fourth proportional to 274,304.34, 411,453.54 and 208,150.74 is: 312,223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,304.34 : 411,453.54 = 208,150.74 : x
  2. Step 2: Convert to fraction form
    274,304.34/411,453.54 = 208,150.74/x
  3. Step 3: Cross multiply
    274,304.34x = 411,453.54 × 208,150.74
  4. Step 4: Simplify right side
    274,304.34x = 85,644,358,826.62
  5. Step 5: Solve for x
    x = 85,644,358,826.62/274,304.34
  6. Step 6: Final answer
    x = 312,223.86

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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.