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Finding the Fourth Proportional to 284,450.76, 426,335.94 and 126,500.76

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Solution

The fourth proportional to 284,450.76, 426,335.94 and 126,500.76 is: 189,599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,450.76 : 426,335.94 = 126,500.76 : x
  2. Step 2: Convert to fraction form
    284,450.76/426,335.94 = 126,500.76/x
  3. Step 3: Cross multiply
    284,450.76x = 426,335.94 × 126,500.76
  4. Step 4: Simplify right side
    284,450.76x = 53,931,820,425.31
  5. Step 5: Solve for x
    x = 53,931,820,425.31/284,450.76
  6. Step 6: Final answer
    x = 189,599.85

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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.