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Finding the Fourth Proportional to 347,117.76, 519,938.31 and 204,809.66

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Solution

The fourth proportional to 347,117.76, 519,938.31 and 204,809.66 is: 306,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,117.76 : 519,938.31 = 204,809.66 : x
  2. Step 2: Convert to fraction form
    347,117.76/519,938.31 = 204,809.66/x
  3. Step 3: Cross multiply
    347,117.76x = 519,938.31 × 204,809.66
  4. Step 4: Simplify right side
    347,117.76x = 106,488,388,492.08
  5. Step 5: Solve for x
    x = 106,488,388,492.08/347,117.76
  6. Step 6: Final answer
    x = 306,778.85

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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.