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Finding the Fourth Proportional to 289,354.39, 433,873.02 and 89,619.32

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Solution

The fourth proportional to 289,354.39, 433,873.02 and 89,619.32 is: 134,379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,354.39 : 433,873.02 = 89,619.32 : x
  2. Step 2: Convert to fraction form
    289,354.39/433,873.02 = 89,619.32/x
  3. Step 3: Cross multiply
    289,354.39x = 433,873.02 × 89,619.32
  4. Step 4: Simplify right side
    289,354.39x = 38,883,406,103.43
  5. Step 5: Solve for x
    x = 38,883,406,103.43/289,354.39
  6. Step 6: Final answer
    x = 134,379.87

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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.