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Finding the Fourth Proportional to 305,820.30, 422,037.66 and 169,866.84

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Solution

The fourth proportional to 305,820.30, 422,037.66 and 169,866.84 is: 234,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,820.30 : 422,037.66 = 169,866.84 : x
  2. Step 2: Convert to fraction form
    305,820.30/422,037.66 = 169,866.84/x
  3. Step 3: Cross multiply
    305,820.30x = 422,037.66 × 169,866.84
  4. Step 4: Simplify right side
    305,820.30x = 71,690,203,665.19
  5. Step 5: Solve for x
    x = 71,690,203,665.19/305,820.30
  6. Step 6: Final answer
    x = 234,419.38

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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.