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Finding the Fourth Proportional to 289,889.40, 434,834.10 and 205,908.60

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Solution

The fourth proportional to 289,889.40, 434,834.10 and 205,908.60 is: 308,862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,889.40 : 434,834.10 = 205,908.60 : x
  2. Step 2: Convert to fraction form
    289,889.40/434,834.10 = 205,908.60/x
  3. Step 3: Cross multiply
    289,889.40x = 434,834.10 × 205,908.60
  4. Step 4: Simplify right side
    289,889.40x = 89,536,080,763.26
  5. Step 5: Solve for x
    x = 89,536,080,763.26/289,889.40
  6. Step 6: Final answer
    x = 308,862.90

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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.