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Finding the Fourth Proportional to 285,051.24, 427,724.40 and 206,811.24

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Solution

The fourth proportional to 285,051.24, 427,724.40 and 206,811.24 is: 310,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,051.24 : 427,724.40 = 206,811.24 : x
  2. Step 2: Convert to fraction form
    285,051.24/427,724.40 = 206,811.24/x
  3. Step 3: Cross multiply
    285,051.24x = 427,724.40 × 206,811.24
  4. Step 4: Simplify right side
    285,051.24x = 88,458,213,542.26
  5. Step 5: Solve for x
    x = 88,458,213,542.26/285,051.24
  6. Step 6: Final answer
    x = 310,323.90

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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.