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Finding the Fourth Proportional to 289,078.88, 433,644.24 and 78,717.92

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Solution

The fourth proportional to 289,078.88, 433,644.24 and 78,717.92 is: 118,083.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,078.88 : 433,644.24 = 78,717.92 : x
  2. Step 2: Convert to fraction form
    289,078.88/433,644.24 = 78,717.92/x
  3. Step 3: Cross multiply
    289,078.88x = 433,644.24 × 78,717.92
  4. Step 4: Simplify right side
    289,078.88x = 34,135,572,592.78
  5. Step 5: Solve for x
    x = 34,135,572,592.78/289,078.88
  6. Step 6: Final answer
    x = 118,083.94

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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.