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Finding the Fourth Proportional to 280,633.94, 420,758.83 and 100,715.37

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Solution

The fourth proportional to 280,633.94, 420,758.83 and 100,715.37 is: 151,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,633.94 : 420,758.83 = 100,715.37 : x
  2. Step 2: Convert to fraction form
    280,633.94/420,758.83 = 100,715.37/x
  3. Step 3: Cross multiply
    280,633.94x = 420,758.83 × 100,715.37
  4. Step 4: Simplify right side
    280,633.94x = 42,376,883,059.16
  5. Step 5: Solve for x
    x = 42,376,883,059.16/280,633.94
  6. Step 6: Final answer
    x = 151,004.13

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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.