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Finding the Fourth Proportional to 459,236.70, 688,617.73 and 206,300.93

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Solution

The fourth proportional to 459,236.70, 688,617.73 and 206,300.93 is: 309,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,236.70 : 688,617.73 = 206,300.93 : x
  2. Step 2: Convert to fraction form
    459,236.70/688,617.73 = 206,300.93/x
  3. Step 3: Cross multiply
    459,236.70x = 688,617.73 × 206,300.93
  4. Step 4: Simplify right side
    459,236.70x = 142,062,474,348.06
  5. Step 5: Solve for x
    x = 142,062,474,348.06/459,236.70
  6. Step 6: Final answer
    x = 309,344.78

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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.