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Finding the Fourth Proportional to 348,104.76, 480,471.66 and 213,891

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Solution

The fourth proportional to 348,104.76, 480,471.66 and 213,891 is: 295,223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,104.76 : 480,471.66 = 213,891 : x
  2. Step 2: Convert to fraction form
    348,104.76/480,471.66 = 213,891/x
  3. Step 3: Cross multiply
    348,104.76x = 480,471.66 × 213,891
  4. Step 4: Simplify right side
    348,104.76x = 102,768,563,829.06
  5. Step 5: Solve for x
    x = 102,768,563,829.06/348,104.76
  6. Step 6: Final answer
    x = 295,223.09

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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.