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Finding the Fourth Proportional to 459,772.20, 689,658.30 and 409,033.80

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Solution

The fourth proportional to 459,772.20, 689,658.30 and 409,033.80 is: 613,550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,772.20 : 689,658.30 = 409,033.80 : x
  2. Step 2: Convert to fraction form
    459,772.20/689,658.30 = 409,033.80/x
  3. Step 3: Cross multiply
    459,772.20x = 689,658.30 × 409,033.80
  4. Step 4: Simplify right side
    459,772.20x = 282,093,555,150.54
  5. Step 5: Solve for x
    x = 282,093,555,150.54/459,772.20
  6. Step 6: Final answer
    x = 613,550.70

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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.