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Finding the Fourth Proportional to 442,704.21, 663,661.84 and 162,155.85

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Solution

The fourth proportional to 442,704.21, 663,661.84 and 162,155.85 is: 243,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,704.21 : 663,661.84 = 162,155.85 : x
  2. Step 2: Convert to fraction form
    442,704.21/663,661.84 = 162,155.85/x
  3. Step 3: Cross multiply
    442,704.21x = 663,661.84 × 162,155.85
  4. Step 4: Simplify right side
    442,704.21x = 107,616,649,777.76
  5. Step 5: Solve for x
    x = 107,616,649,777.76/442,704.21
  6. Step 6: Final answer
    x = 243,089.28

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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.