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Finding the Fourth Proportional to 280,288.65, 420,369.93 and 80,564.52

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Solution

The fourth proportional to 280,288.65, 420,369.93 and 80,564.52 is: 120,828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,288.65 : 420,369.93 = 80,564.52 : x
  2. Step 2: Convert to fraction form
    280,288.65/420,369.93 = 80,564.52/x
  3. Step 3: Cross multiply
    280,288.65x = 420,369.93 × 80,564.52
  4. Step 4: Simplify right side
    280,288.65x = 33,866,901,632.88
  5. Step 5: Solve for x
    x = 33,866,901,632.88/280,288.65
  6. Step 6: Final answer
    x = 120,828.66

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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.