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Finding the Fourth Proportional to 309,006.82, 426,465.30 and 188,218.81

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Solution

The fourth proportional to 309,006.82, 426,465.30 and 188,218.81 is: 259,763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,006.82 : 426,465.30 = 188,218.81 : x
  2. Step 2: Convert to fraction form
    309,006.82/426,465.30 = 188,218.81/x
  3. Step 3: Cross multiply
    309,006.82x = 426,465.30 × 188,218.81
  4. Step 4: Simplify right side
    309,006.82x = 80,268,791,272.29
  5. Step 5: Solve for x
    x = 80,268,791,272.29/309,006.82
  6. Step 6: Final answer
    x = 259,763.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.