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Finding the Fourth Proportional to 284,163.96, 426,107.70 and 165,873.72

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Solution

The fourth proportional to 284,163.96, 426,107.70 and 165,873.72 is: 248,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,163.96 : 426,107.70 = 165,873.72 : x
  2. Step 2: Convert to fraction form
    284,163.96/426,107.70 = 165,873.72/x
  3. Step 3: Cross multiply
    284,163.96x = 426,107.70 × 165,873.72
  4. Step 4: Simplify right side
    284,163.96x = 70,680,069,319.64
  5. Step 5: Solve for x
    x = 70,680,069,319.64/284,163.96
  6. Step 6: Final answer
    x = 248,729.89

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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.