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Finding the Fourth Proportional to 457,787.20, 686,486.40 and 221,202.40

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Solution

The fourth proportional to 457,787.20, 686,486.40 and 221,202.40 is: 331,709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,787.20 : 686,486.40 = 221,202.40 : x
  2. Step 2: Convert to fraction form
    457,787.20/686,486.40 = 221,202.40/x
  3. Step 3: Cross multiply
    457,787.20x = 686,486.40 × 221,202.40
  4. Step 4: Simplify right side
    457,787.20x = 151,852,439,247.36
  5. Step 5: Solve for x
    x = 151,852,439,247.36/457,787.20
  6. Step 6: Final answer
    x = 331,709.67

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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.