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Finding the Fourth Proportional to 459,238.70, 688,620.73 and 206,302.93

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Solution

The fourth proportional to 459,238.70, 688,620.73 and 206,302.93 is: 309,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,238.70 : 688,620.73 = 206,302.93 : x
  2. Step 2: Convert to fraction form
    459,238.70/688,620.73 = 206,302.93/x
  3. Step 3: Cross multiply
    459,238.70x = 688,620.73 × 206,302.93
  4. Step 4: Simplify right side
    459,238.70x = 142,064,474,257.74
  5. Step 5: Solve for x
    x = 142,064,474,257.74/459,238.70
  6. Step 6: Final answer
    x = 309,347.78

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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.