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Finding the Fourth Proportional to 289,620.80, 434,042.40 and 206,417.60

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Solution

The fourth proportional to 289,620.80, 434,042.40 and 206,417.60 is: 309,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,620.80 : 434,042.40 = 206,417.60 : x
  2. Step 2: Convert to fraction form
    289,620.80/434,042.40 = 206,417.60/x
  3. Step 3: Cross multiply
    289,620.80x = 434,042.40 × 206,417.60
  4. Step 4: Simplify right side
    289,620.80x = 89,593,990,506.24
  5. Step 5: Solve for x
    x = 89,593,990,506.24/289,620.80
  6. Step 6: Final answer
    x = 309,349.30

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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.