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Finding the Fourth Proportional to 305,983.72, 422,256.72 and 170,017.12

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Solution

The fourth proportional to 305,983.72, 422,256.72 and 170,017.12 is: 234,623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,983.72 : 422,256.72 = 170,017.12 : x
  2. Step 2: Convert to fraction form
    305,983.72/422,256.72 = 170,017.12/x
  3. Step 3: Cross multiply
    305,983.72x = 422,256.72 × 170,017.12
  4. Step 4: Simplify right side
    305,983.72x = 71,790,871,435.05
  5. Step 5: Solve for x
    x = 71,790,871,435.05/305,983.72
  6. Step 6: Final answer
    x = 234,623.17

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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.