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Finding the Fourth Proportional to 458,052.70, 686,884.65 and 221,467.90

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Solution

The fourth proportional to 458,052.70, 686,884.65 and 221,467.90 is: 332,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,052.70 : 686,884.65 = 221,467.90 : x
  2. Step 2: Convert to fraction form
    458,052.70/686,884.65 = 221,467.90/x
  3. Step 3: Cross multiply
    458,052.70x = 686,884.65 × 221,467.90
  4. Step 4: Simplify right side
    458,052.70x = 152,122,900,977.74
  5. Step 5: Solve for x
    x = 152,122,900,977.74/458,052.70
  6. Step 6: Final answer
    x = 332,107.86

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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.