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Finding the Fourth Proportional to 412,080.75, 620,929.13 and 338,841.63

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Solution

The fourth proportional to 412,080.75, 620,929.13 and 338,841.63 is: 510,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,080.75 : 620,929.13 = 338,841.63 : x
  2. Step 2: Convert to fraction form
    412,080.75/620,929.13 = 338,841.63/x
  3. Step 3: Cross multiply
    412,080.75x = 620,929.13 × 338,841.63
  4. Step 4: Simplify right side
    412,080.75x = 210,396,636,829.47
  5. Step 5: Solve for x
    x = 210,396,636,829.47/412,080.75
  6. Step 6: Final answer
    x = 510,571.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.