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Finding the Fourth Proportional to 320,443.60, 480,623.64 and 83,804.53

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Solution

The fourth proportional to 320,443.60, 480,623.64 and 83,804.53 is: 125,695.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,443.60 : 480,623.64 = 83,804.53 : x
  2. Step 2: Convert to fraction form
    320,443.60/480,623.64 = 83,804.53/x
  3. Step 3: Cross multiply
    320,443.60x = 480,623.64 × 83,804.53
  4. Step 4: Simplify right side
    320,443.60x = 40,278,438,257.09
  5. Step 5: Solve for x
    x = 40,278,438,257.09/320,443.60
  6. Step 6: Final answer
    x = 125,695.87

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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.