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Finding the Fourth Proportional to 289,945.68, 435,043.74 and 156,919.86

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Solution

The fourth proportional to 289,945.68, 435,043.74 and 156,919.86 is: 235,447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,945.68 : 435,043.74 = 156,919.86 : x
  2. Step 2: Convert to fraction form
    289,945.68/435,043.74 = 156,919.86/x
  3. Step 3: Cross multiply
    289,945.68x = 435,043.74 × 156,919.86
  4. Step 4: Simplify right side
    289,945.68x = 68,267,002,774.68
  5. Step 5: Solve for x
    x = 68,267,002,774.68/289,945.68
  6. Step 6: Final answer
    x = 235,447.56

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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.