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Finding the Fourth Proportional to 289,081.64, 433,514.70 and 99,489.02

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Solution

The fourth proportional to 289,081.64, 433,514.70 and 99,489.02 is: 149,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,081.64 : 433,514.70 = 99,489.02 : x
  2. Step 2: Convert to fraction form
    289,081.64/433,514.70 = 99,489.02/x
  3. Step 3: Cross multiply
    289,081.64x = 433,514.70 × 99,489.02
  4. Step 4: Simplify right side
    289,081.64x = 43,129,952,658.59
  5. Step 5: Solve for x
    x = 43,129,952,658.59/289,081.64
  6. Step 6: Final answer
    x = 149,196.44

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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.