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Finding the Fourth Proportional to 393,779.80, 589,794.90 and 206,572.60

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Solution

The fourth proportional to 393,779.80, 589,794.90 and 206,572.60 is: 309,399.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,779.80 : 589,794.90 = 206,572.60 : x
  2. Step 2: Convert to fraction form
    393,779.80/589,794.90 = 206,572.60/x
  3. Step 3: Cross multiply
    393,779.80x = 589,794.90 × 206,572.60
  4. Step 4: Simplify right side
    393,779.80x = 121,835,465,959.74
  5. Step 5: Solve for x
    x = 121,835,465,959.74/393,779.80
  6. Step 6: Final answer
    x = 309,399.99

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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.