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Finding the Fourth Proportional to 274,990.70, 412,814.10 and 155,143.10

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Solution

The fourth proportional to 274,990.70, 412,814.10 and 155,143.10 is: 232,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,990.70 : 412,814.10 = 155,143.10 : x
  2. Step 2: Convert to fraction form
    274,990.70/412,814.10 = 155,143.10/x
  3. Step 3: Cross multiply
    274,990.70x = 412,814.10 × 155,143.10
  4. Step 4: Simplify right side
    274,990.70x = 64,045,259,197.71
  5. Step 5: Solve for x
    x = 64,045,259,197.71/274,990.70
  6. Step 6: Final answer
    x = 232,899.73

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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.