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Finding the Fourth Proportional to 347,932.74, 480,102.30 and 204,640.50

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Solution

The fourth proportional to 347,932.74, 480,102.30 and 204,640.50 is: 282,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,932.74 : 480,102.30 = 204,640.50 : x
  2. Step 2: Convert to fraction form
    347,932.74/480,102.30 = 204,640.50/x
  3. Step 3: Cross multiply
    347,932.74x = 480,102.30 × 204,640.50
  4. Step 4: Simplify right side
    347,932.74x = 98,248,374,723.15
  5. Step 5: Solve for x
    x = 98,248,374,723.15/347,932.74
  6. Step 6: Final answer
    x = 282,377.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.