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Finding the Fourth Proportional to 320,255.37, 480,391.50 and 140,248.19

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Solution

The fourth proportional to 320,255.37, 480,391.50 and 140,248.19 is: 210,375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,255.37 : 480,391.50 = 140,248.19 : x
  2. Step 2: Convert to fraction form
    320,255.37/480,391.50 = 140,248.19/x
  3. Step 3: Cross multiply
    320,255.37x = 480,391.50 × 140,248.19
  4. Step 4: Simplify right side
    320,255.37x = 67,374,038,366.39
  5. Step 5: Solve for x
    x = 67,374,038,366.39/320,255.37
  6. Step 6: Final answer
    x = 210,375.98

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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.