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Finding the Fourth Proportional to 320,381.92, 480,770.52 and 162,723.52

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Solution

The fourth proportional to 320,381.92, 480,770.52 and 162,723.52 is: 244,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,381.92 : 480,770.52 = 162,723.52 : x
  2. Step 2: Convert to fraction form
    320,381.92/480,770.52 = 162,723.52/x
  3. Step 3: Cross multiply
    320,381.92x = 480,770.52 × 162,723.52
  4. Step 4: Simplify right side
    320,381.92x = 78,232,671,326.63
  5. Step 5: Solve for x
    x = 78,232,671,326.63/320,381.92
  6. Step 6: Final answer
    x = 244,185.66

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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.