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Finding the Fourth Proportional to 279,355.75, 385,443.70 and 164,638.96

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Solution

The fourth proportional to 279,355.75, 385,443.70 and 164,638.96 is: 227,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,355.75 : 385,443.70 = 164,638.96 : x
  2. Step 2: Convert to fraction form
    279,355.75/385,443.70 = 164,638.96/x
  3. Step 3: Cross multiply
    279,355.75x = 385,443.70 × 164,638.96
  4. Step 4: Simplify right side
    279,355.75x = 63,459,049,906.55
  5. Step 5: Solve for x
    x = 63,459,049,906.55/279,355.75
  6. Step 6: Final answer
    x = 227,162.14

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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.