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Finding the Fourth Proportional to 472,992.20, 709,269.60 and 206,615.60

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Solution

The fourth proportional to 472,992.20, 709,269.60 and 206,615.60 is: 309,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,992.20 : 709,269.60 = 206,615.60 : x
  2. Step 2: Convert to fraction form
    472,992.20/709,269.60 = 206,615.60/x
  3. Step 3: Cross multiply
    472,992.20x = 709,269.60 × 206,615.60
  4. Step 4: Simplify right side
    472,992.20x = 146,546,163,965.76
  5. Step 5: Solve for x
    x = 146,546,163,965.76/472,992.20
  6. Step 6: Final answer
    x = 309,827.87

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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.