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Finding the Fourth Proportional to 305,825.82, 422,025.02 and 169,868.40

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Solution

The fourth proportional to 305,825.82, 422,025.02 and 169,868.40 is: 234,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,825.82 : 422,025.02 = 169,868.40 : x
  2. Step 2: Convert to fraction form
    305,825.82/422,025.02 = 169,868.40/x
  3. Step 3: Cross multiply
    305,825.82x = 422,025.02 × 169,868.40
  4. Step 4: Simplify right side
    305,825.82x = 71,688,714,907.37
  5. Step 5: Solve for x
    x = 71,688,714,907.37/305,825.82
  6. Step 6: Final answer
    x = 234,410.28

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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.