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Finding the Fourth Proportional to 289,945.72, 435,043.74 and 156,919.80

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Solution

The fourth proportional to 289,945.72, 435,043.74 and 156,919.80 is: 235,447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,945.72 : 435,043.74 = 156,919.80 : x
  2. Step 2: Convert to fraction form
    289,945.72/435,043.74 = 156,919.80/x
  3. Step 3: Cross multiply
    289,945.72x = 435,043.74 × 156,919.80
  4. Step 4: Simplify right side
    289,945.72x = 68,266,976,672.05
  5. Step 5: Solve for x
    x = 68,266,976,672.05/289,945.72
  6. Step 6: Final answer
    x = 235,447.44

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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.