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Finding the Fourth Proportional to 356,115, 491,438.48 and 194,970.01

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Solution

The fourth proportional to 356,115, 491,438.48 and 194,970.01 is: 269,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,115 : 491,438.48 = 194,970.01 : x
  2. Step 2: Convert to fraction form
    356,115/491,438.48 = 194,970.01/x
  3. Step 3: Cross multiply
    356,115x = 491,438.48 × 194,970.01
  4. Step 4: Simplify right side
    356,115x = 95,815,761,927.94
  5. Step 5: Solve for x
    x = 95,815,761,927.94/356,115
  6. Step 6: Final answer
    x = 269,058.48

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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.