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Finding the Fourth Proportional to 320,199.83, 480,299.25 and 83,542.51

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Solution

The fourth proportional to 320,199.83, 480,299.25 and 83,542.51 is: 125,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,199.83 : 480,299.25 = 83,542.51 : x
  2. Step 2: Convert to fraction form
    320,199.83/480,299.25 = 83,542.51/x
  3. Step 3: Cross multiply
    320,199.83x = 480,299.25 × 83,542.51
  4. Step 4: Simplify right side
    320,199.83x = 40,125,406,455.73
  5. Step 5: Solve for x
    x = 40,125,406,455.73/320,199.83
  6. Step 6: Final answer
    x = 125,313.64

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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.