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Finding the Fourth Proportional to 280,318.23, 420,532.74 and 102,826.89

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Solution

The fourth proportional to 280,318.23, 420,532.74 and 102,826.89 is: 154,260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,318.23 : 420,532.74 = 102,826.89 : x
  2. Step 2: Convert to fraction form
    280,318.23/420,532.74 = 102,826.89/x
  3. Step 3: Cross multiply
    280,318.23x = 420,532.74 × 102,826.89
  4. Step 4: Simplify right side
    280,318.23x = 43,242,073,797.38
  5. Step 5: Solve for x
    x = 43,242,073,797.38/280,318.23
  6. Step 6: Final answer
    x = 154,260.66

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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.