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Finding the Fourth Proportional to 311,931.73, 430,466.97 and 168,692.95

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Solution

The fourth proportional to 311,931.73, 430,466.97 and 168,692.95 is: 232,796.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,931.73 : 430,466.97 = 168,692.95 : x
  2. Step 2: Convert to fraction form
    311,931.73/430,466.97 = 168,692.95/x
  3. Step 3: Cross multiply
    311,931.73x = 430,466.97 × 168,692.95
  4. Step 4: Simplify right side
    311,931.73x = 72,616,743,046.86
  5. Step 5: Solve for x
    x = 72,616,743,046.86/311,931.73
  6. Step 6: Final answer
    x = 232,796.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.