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Finding the Fourth Proportional to 434,129.51, 650,846.53 and 206,310.80

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Solution

The fourth proportional to 434,129.51, 650,846.53 and 206,310.80 is: 309,300.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,129.51 : 650,846.53 = 206,310.80 : x
  2. Step 2: Convert to fraction form
    434,129.51/650,846.53 = 206,310.80/x
  3. Step 3: Cross multiply
    434,129.51x = 650,846.53 × 206,310.80
  4. Step 4: Simplify right side
    434,129.51x = 134,276,670,166.53
  5. Step 5: Solve for x
    x = 134,276,670,166.53/434,129.51
  6. Step 6: Final answer
    x = 309,300.95

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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.