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Finding the Fourth Proportional to 459,517.66, 688,645.92 and 290,735.85

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Solution

The fourth proportional to 459,517.66, 688,645.92 and 290,735.85 is: 435,704.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,517.66 : 688,645.92 = 290,735.85 : x
  2. Step 2: Convert to fraction form
    459,517.66/688,645.92 = 290,735.85/x
  3. Step 3: Cross multiply
    459,517.66x = 688,645.92 × 290,735.85
  4. Step 4: Simplify right side
    459,517.66x = 200,214,056,900.23
  5. Step 5: Solve for x
    x = 200,214,056,900.23/459,517.66
  6. Step 6: Final answer
    x = 435,704.81

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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.