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Finding the Fourth Proportional to 305,976, 422,247.04 and 171,840

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Solution

The fourth proportional to 305,976, 422,247.04 and 171,840 is: 237,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,976 : 422,247.04 = 171,840 : x
  2. Step 2: Convert to fraction form
    305,976/422,247.04 = 171,840/x
  3. Step 3: Cross multiply
    305,976x = 422,247.04 × 171,840
  4. Step 4: Simplify right side
    305,976x = 72,558,931,353.60
  5. Step 5: Solve for x
    x = 72,558,931,353.60/305,976
  6. Step 6: Final answer
    x = 237,139.29

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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.