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Finding the Fourth Proportional to 299,414.32, 412,142.99 and 261,106.28

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Solution

The fourth proportional to 299,414.32, 412,142.99 and 261,106.28 is: 359,412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,414.32 : 412,142.99 = 261,106.28 : x
  2. Step 2: Convert to fraction form
    299,414.32/412,142.99 = 261,106.28/x
  3. Step 3: Cross multiply
    299,414.32x = 412,142.99 × 261,106.28
  4. Step 4: Simplify right side
    299,414.32x = 107,613,124,205.92
  5. Step 5: Solve for x
    x = 107,613,124,205.92/299,414.32
  6. Step 6: Final answer
    x = 359,412.08

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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.