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Finding the Fourth Proportional to 412,054.38, 620,889.26 and 338,815.13

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Solution

The fourth proportional to 412,054.38, 620,889.26 and 338,815.13 is: 510,531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,054.38 : 620,889.26 = 338,815.13 : x
  2. Step 2: Convert to fraction form
    412,054.38/620,889.26 = 338,815.13/x
  3. Step 3: Cross multiply
    412,054.38x = 620,889.26 × 338,815.13
  4. Step 4: Simplify right side
    412,054.38x = 210,366,670,543.98
  5. Step 5: Solve for x
    x = 210,366,670,543.98/412,054.38
  6. Step 6: Final answer
    x = 510,531.33

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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.