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Finding the Fourth Proportional to 320,058.27, 480,216.50 and 142,443.80

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Solution

The fourth proportional to 320,058.27, 480,216.50 and 142,443.80 is: 213,723.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,058.27 : 480,216.50 = 142,443.80 : x
  2. Step 2: Convert to fraction form
    320,058.27/480,216.50 = 142,443.80/x
  3. Step 3: Cross multiply
    320,058.27x = 480,216.50 × 142,443.80
  4. Step 4: Simplify right side
    320,058.27x = 68,403,859,969.40
  5. Step 5: Solve for x
    x = 68,403,859,969.40/320,058.27
  6. Step 6: Final answer
    x = 213,723.15

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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.