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Finding the Fourth Proportional to 356,153.04, 491,472.42 and 194,977.20

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Solution

The fourth proportional to 356,153.04, 491,472.42 and 194,977.20 is: 269,058.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,153.04 : 491,472.42 = 194,977.20 : x
  2. Step 2: Convert to fraction form
    356,153.04/491,472.42 = 194,977.20/x
  3. Step 3: Cross multiply
    356,153.04x = 491,472.42 × 194,977.20
  4. Step 4: Simplify right side
    356,153.04x = 95,825,916,328.82
  5. Step 5: Solve for x
    x = 95,825,916,328.82/356,153.04
  6. Step 6: Final answer
    x = 269,058.26

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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.