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Finding the Fourth Proportional to 289,027.70, 433,541.55 and 78,665.30

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Solution

The fourth proportional to 289,027.70, 433,541.55 and 78,665.30 is: 117,997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,027.70 : 433,541.55 = 78,665.30 : x
  2. Step 2: Convert to fraction form
    289,027.70/433,541.55 = 78,665.30/x
  3. Step 3: Cross multiply
    289,027.70x = 433,541.55 × 78,665.30
  4. Step 4: Simplify right side
    289,027.70x = 34,104,676,093.22
  5. Step 5: Solve for x
    x = 34,104,676,093.22/289,027.70
  6. Step 6: Final answer
    x = 117,997.95

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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.