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Finding the Fourth Proportional to 459,757.29, 689,051.93 and 206,767.56

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Solution

The fourth proportional to 459,757.29, 689,051.93 and 206,767.56 is: 309,888.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,757.29 : 689,051.93 = 206,767.56 : x
  2. Step 2: Convert to fraction form
    459,757.29/689,051.93 = 206,767.56/x
  3. Step 3: Cross multiply
    459,757.29x = 689,051.93 × 206,767.56
  4. Step 4: Simplify right side
    459,757.29x = 142,473,585,245.55
  5. Step 5: Solve for x
    x = 142,473,585,245.55/459,757.29
  6. Step 6: Final answer
    x = 309,888.69

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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.