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Finding the Fourth Proportional to 276,398.30, 413,933.04 and 157,709.80

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Solution

The fourth proportional to 276,398.30, 413,933.04 and 157,709.80 is: 236,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,398.30 : 413,933.04 = 157,709.80 : x
  2. Step 2: Convert to fraction form
    276,398.30/413,933.04 = 157,709.80/x
  3. Step 3: Cross multiply
    276,398.30x = 413,933.04 × 157,709.80
  4. Step 4: Simplify right side
    276,398.30x = 65,281,296,951.79
  5. Step 5: Solve for x
    x = 65,281,296,951.79/276,398.30
  6. Step 6: Final answer
    x = 236,185.60

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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.