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Finding the Fourth Proportional to 273,147, 409,838.70 and 146,639.64

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Solution

The fourth proportional to 273,147, 409,838.70 and 146,639.64 is: 220,022.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,147 : 409,838.70 = 146,639.64 : x
  2. Step 2: Convert to fraction form
    273,147/409,838.70 = 146,639.64/x
  3. Step 3: Cross multiply
    273,147x = 409,838.70 × 146,639.64
  4. Step 4: Simplify right side
    273,147x = 60,098,599,426.07
  5. Step 5: Solve for x
    x = 60,098,599,426.07/273,147
  6. Step 6: Final answer
    x = 220,022.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.