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Finding the Fourth Proportional to 285,069.24, 427,751.40 and 206,829.24

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Solution

The fourth proportional to 285,069.24, 427,751.40 and 206,829.24 is: 310,350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,069.24 : 427,751.40 = 206,829.24 : x
  2. Step 2: Convert to fraction form
    285,069.24/427,751.40 = 206,829.24/x
  3. Step 3: Cross multiply
    285,069.24x = 427,751.40 × 206,829.24
  4. Step 4: Simplify right side
    285,069.24x = 88,471,496,970.94
  5. Step 5: Solve for x
    x = 88,471,496,970.94/285,069.24
  6. Step 6: Final answer
    x = 310,350.91

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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.