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Finding the Fourth Proportional to 347,970, 521,955 and 85,314

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Solution

The fourth proportional to 347,970, 521,955 and 85,314 is: 127,971

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,970 : 521,955 = 85,314 : x
  2. Step 2: Convert to fraction form
    347,970/521,955 = 85,314/x
  3. Step 3: Cross multiply
    347,970x = 521,955 × 85,314
  4. Step 4: Simplify right side
    347,970x = 44,530,068,870
  5. Step 5: Solve for x
    x = 44,530,068,870/347,970
  6. Step 6: Final answer
    x = 127,971

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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.