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Finding the Fourth Proportional to 310,068.34, 427,941.09 and 189,279.94

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Solution

The fourth proportional to 310,068.34, 427,941.09 and 189,279.94 is: 261,234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,068.34 : 427,941.09 = 189,279.94 : x
  2. Step 2: Convert to fraction form
    310,068.34/427,941.09 = 189,279.94/x
  3. Step 3: Cross multiply
    310,068.34x = 427,941.09 × 189,279.94
  4. Step 4: Simplify right side
    310,068.34x = 81,000,663,838.73
  5. Step 5: Solve for x
    x = 81,000,663,838.73/310,068.34
  6. Step 6: Final answer
    x = 261,234.87

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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.