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Finding the Fourth Proportional to 288,765.96, 433,178.64 and 109,002.80

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Solution

The fourth proportional to 288,765.96, 433,178.64 and 109,002.80 is: 163,515.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,765.96 : 433,178.64 = 109,002.80 : x
  2. Step 2: Convert to fraction form
    288,765.96/433,178.64 = 109,002.80/x
  3. Step 3: Cross multiply
    288,765.96x = 433,178.64 × 109,002.80
  4. Step 4: Simplify right side
    288,765.96x = 47,217,682,494.30
  5. Step 5: Solve for x
    x = 47,217,682,494.30/288,765.96
  6. Step 6: Final answer
    x = 163,515.40

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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.