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Finding the Fourth Proportional to 289,796.70, 433,773.45 and 206,852.70

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Solution

The fourth proportional to 289,796.70, 433,773.45 and 206,852.70 is: 309,621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,796.70 : 433,773.45 = 206,852.70 : x
  2. Step 2: Convert to fraction form
    289,796.70/433,773.45 = 206,852.70/x
  3. Step 3: Cross multiply
    289,796.70x = 433,773.45 × 206,852.70
  4. Step 4: Simplify right side
    289,796.70x = 89,727,209,320.82
  5. Step 5: Solve for x
    x = 89,727,209,320.82/289,796.70
  6. Step 6: Final answer
    x = 309,621.23

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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.