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Finding the Fourth Proportional to 455,200.70, 682,801.05 and 118,213.70

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Solution

The fourth proportional to 455,200.70, 682,801.05 and 118,213.70 is: 177,320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,200.70 : 682,801.05 = 118,213.70 : x
  2. Step 2: Convert to fraction form
    455,200.70/682,801.05 = 118,213.70/x
  3. Step 3: Cross multiply
    455,200.70x = 682,801.05 × 118,213.70
  4. Step 4: Simplify right side
    455,200.70x = 80,716,438,484.39
  5. Step 5: Solve for x
    x = 80,716,438,484.39/455,200.70
  6. Step 6: Final answer
    x = 177,320.55

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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.