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Finding the Fourth Proportional to 289,757.80, 434,766.30 and 139,940.20

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Solution

The fourth proportional to 289,757.80, 434,766.30 and 139,940.20 is: 209,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,757.80 : 434,766.30 = 139,940.20 : x
  2. Step 2: Convert to fraction form
    289,757.80/434,766.30 = 139,940.20/x
  3. Step 3: Cross multiply
    289,757.80x = 434,766.30 × 139,940.20
  4. Step 4: Simplify right side
    289,757.80x = 60,841,282,975.26
  5. Step 5: Solve for x
    x = 60,841,282,975.26/289,757.80
  6. Step 6: Final answer
    x = 209,972.89

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1.5x scale

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.