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Finding the Fourth Proportional to 477,137.94, 717,194.61 and 300,778.26

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Solution

The fourth proportional to 477,137.94, 717,194.61 and 300,778.26 is: 452,105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,137.94 : 717,194.61 = 300,778.26 : x
  2. Step 2: Convert to fraction form
    477,137.94/717,194.61 = 300,778.26/x
  3. Step 3: Cross multiply
    477,137.94x = 717,194.61 × 300,778.26
  4. Step 4: Simplify right side
    477,137.94x = 215,716,546,877.18
  5. Step 5: Solve for x
    x = 215,716,546,877.18/477,137.94
  6. Step 6: Final answer
    x = 452,105.21

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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.