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Finding the Fourth Proportional to 286,182.38, 429,273.57 and 99,193.88

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Solution

The fourth proportional to 286,182.38, 429,273.57 and 99,193.88 is: 148,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,182.38 : 429,273.57 = 99,193.88 : x
  2. Step 2: Convert to fraction form
    286,182.38/429,273.57 = 99,193.88/x
  3. Step 3: Cross multiply
    286,182.38x = 429,273.57 × 99,193.88
  4. Step 4: Simplify right side
    286,182.38x = 42,581,310,989.75
  5. Step 5: Solve for x
    x = 42,581,310,989.75/286,182.38
  6. Step 6: Final answer
    x = 148,790.82

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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.