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Finding the Fourth Proportional to 213,630.84, 320,723.28 and 143,005.32

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Solution

The fourth proportional to 213,630.84, 320,723.28 and 143,005.32 is: 214,693.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,630.84 : 320,723.28 = 143,005.32 : x
  2. Step 2: Convert to fraction form
    213,630.84/320,723.28 = 143,005.32/x
  3. Step 3: Cross multiply
    213,630.84x = 320,723.28 × 143,005.32
  4. Step 4: Simplify right side
    213,630.84x = 45,865,135,287.85
  5. Step 5: Solve for x
    x = 45,865,135,287.85/213,630.84
  6. Step 6: Final answer
    x = 214,693.42

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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.