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Finding the Fourth Proportional to 288,872.84, 433,221.77 and 78,483.44

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Solution

The fourth proportional to 288,872.84, 433,221.77 and 78,483.44 is: 117,701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,872.84 : 433,221.77 = 78,483.44 : x
  2. Step 2: Convert to fraction form
    288,872.84/433,221.77 = 78,483.44/x
  3. Step 3: Cross multiply
    288,872.84x = 433,221.77 × 78,483.44
  4. Step 4: Simplify right side
    288,872.84x = 34,000,732,233.96
  5. Step 5: Solve for x
    x = 34,000,732,233.96/288,872.84
  6. Step 6: Final answer
    x = 117,701.38

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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.