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Finding the Fourth Proportional to 339,456, 509,184 and 117,840

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Solution

The fourth proportional to 339,456, 509,184 and 117,840 is: 176,760

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,456 : 509,184 = 117,840 : x
  2. Step 2: Convert to fraction form
    339,456/509,184 = 117,840/x
  3. Step 3: Cross multiply
    339,456x = 509,184 × 117,840
  4. Step 4: Simplify right side
    339,456x = 60,002,242,560
  5. Step 5: Solve for x
    x = 60,002,242,560/339,456
  6. Step 6: Final answer
    x = 176,760

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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.