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Finding the Fourth Proportional to 289,227.50, 399,112.08 and 160,165.34

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Solution

The fourth proportional to 289,227.50, 399,112.08 and 160,165.34 is: 221,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,227.50 : 399,112.08 = 160,165.34 : x
  2. Step 2: Convert to fraction form
    289,227.50/399,112.08 = 160,165.34/x
  3. Step 3: Cross multiply
    289,227.50x = 399,112.08 × 160,165.34
  4. Step 4: Simplify right side
    289,227.50x = 63,923,921,991.31
  5. Step 5: Solve for x
    x = 63,923,921,991.31/289,227.50
  6. Step 6: Final answer
    x = 221,016.06

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1.5x scale

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.