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Finding the Fourth Proportional to 276,491.46, 414,072.90 and 157,803

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Solution

The fourth proportional to 276,491.46, 414,072.90 and 157,803 is: 236,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,491.46 : 414,072.90 = 157,803 : x
  2. Step 2: Convert to fraction form
    276,491.46/414,072.90 = 157,803/x
  3. Step 3: Cross multiply
    276,491.46x = 414,072.90 × 157,803
  4. Step 4: Simplify right side
    276,491.46x = 65,341,945,838.70
  5. Step 5: Solve for x
    x = 65,341,945,838.70/276,491.46
  6. Step 6: Final answer
    x = 236,325.37

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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.