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Finding the Fourth Proportional to 213,073.29, 319,305.38 and 156,469.41

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Solution

The fourth proportional to 213,073.29, 319,305.38 and 156,469.41 is: 234,480.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,073.29 : 319,305.38 = 156,469.41 : x
  2. Step 2: Convert to fraction form
    213,073.29/319,305.38 = 156,469.41/x
  3. Step 3: Cross multiply
    213,073.29x = 319,305.38 × 156,469.41
  4. Step 4: Simplify right side
    213,073.29x = 49,961,523,636.08
  5. Step 5: Solve for x
    x = 49,961,523,636.08/213,073.29
  6. Step 6: Final answer
    x = 234,480.46

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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.