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Finding the Fourth Proportional to 224,610.94, 309,964.16 and 122,638.46

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Solution

The fourth proportional to 224,610.94, 309,964.16 and 122,638.46 is: 169,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,610.94 : 309,964.16 = 122,638.46 : x
  2. Step 2: Convert to fraction form
    224,610.94/309,964.16 = 122,638.46/x
  3. Step 3: Cross multiply
    224,610.94x = 309,964.16 × 122,638.46
  4. Step 4: Simplify right side
    224,610.94x = 38,013,526,624.40
  5. Step 5: Solve for x
    x = 38,013,526,624.40/224,610.94
  6. Step 6: Final answer
    x = 169,241.66

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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.