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Finding the Fourth Proportional to 288,704.40, 432,826.20 and 122,355.60

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Solution

The fourth proportional to 288,704.40, 432,826.20 and 122,355.60 is: 183,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,704.40 : 432,826.20 = 122,355.60 : x
  2. Step 2: Convert to fraction form
    288,704.40/432,826.20 = 122,355.60/x
  3. Step 3: Cross multiply
    288,704.40x = 432,826.20 × 122,355.60
  4. Step 4: Simplify right side
    288,704.40x = 52,958,709,396.72
  5. Step 5: Solve for x
    x = 52,958,709,396.72/288,704.40
  6. Step 6: Final answer
    x = 183,435.75

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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.