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Finding the Fourth Proportional to 288,915.85, 433,340.97 and 111,408

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Solution

The fourth proportional to 288,915.85, 433,340.97 and 111,408 is: 167,099.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,915.85 : 433,340.97 = 111,408 : x
  2. Step 2: Convert to fraction form
    288,915.85/433,340.97 = 111,408/x
  3. Step 3: Cross multiply
    288,915.85x = 433,340.97 × 111,408
  4. Step 4: Simplify right side
    288,915.85x = 48,277,650,785.76
  5. Step 5: Solve for x
    x = 48,277,650,785.76/288,915.85
  6. Step 6: Final answer
    x = 167,099.35

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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.