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Finding the Fourth Proportional to 286,245, 429,367.68 and 89,253

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Solution

The fourth proportional to 286,245, 429,367.68 and 89,253 is: 133,879.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,245 : 429,367.68 = 89,253 : x
  2. Step 2: Convert to fraction form
    286,245/429,367.68 = 89,253/x
  3. Step 3: Cross multiply
    286,245x = 429,367.68 × 89,253
  4. Step 4: Simplify right side
    286,245x = 38,322,353,543.04
  5. Step 5: Solve for x
    x = 38,322,353,543.04/286,245
  6. Step 6: Final answer
    x = 133,879.56

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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.