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Finding the Fourth Proportional to 226,309.28, 312,311.76 and 130,820

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Solution

The fourth proportional to 226,309.28, 312,311.76 and 130,820 is: 180,534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,309.28 : 312,311.76 = 130,820 : x
  2. Step 2: Convert to fraction form
    226,309.28/312,311.76 = 130,820/x
  3. Step 3: Cross multiply
    226,309.28x = 312,311.76 × 130,820
  4. Step 4: Simplify right side
    226,309.28x = 40,856,624,443.20
  5. Step 5: Solve for x
    x = 40,856,624,443.20/226,309.28
  6. Step 6: Final answer
    x = 180,534.46

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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.