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Finding the Fourth Proportional to 457,777.20, 686,471.40 and 221,192.40

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Solution

The fourth proportional to 457,777.20, 686,471.40 and 221,192.40 is: 331,694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,777.20 : 686,471.40 = 221,192.40 : x
  2. Step 2: Convert to fraction form
    457,777.20/686,471.40 = 221,192.40/x
  3. Step 3: Cross multiply
    457,777.20x = 686,471.40 × 221,192.40
  4. Step 4: Simplify right side
    457,777.20x = 151,842,256,497.36
  5. Step 5: Solve for x
    x = 151,842,256,497.36/457,777.20
  6. Step 6: Final answer
    x = 331,694.67

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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.