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Finding the Fourth Proportional to 320,058.77, 480,217.25 and 142,444.29

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Solution

The fourth proportional to 320,058.77, 480,217.25 and 142,444.29 is: 213,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,058.77 : 480,217.25 = 142,444.29 : x
  2. Step 2: Convert to fraction form
    320,058.77/480,217.25 = 142,444.29/x
  3. Step 3: Cross multiply
    320,058.77x = 480,217.25 × 142,444.29
  4. Step 4: Simplify right side
    320,058.77x = 68,404,204,509.78
  5. Step 5: Solve for x
    x = 68,404,204,509.78/320,058.77
  6. Step 6: Final answer
    x = 213,723.89

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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.