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Finding the Fourth Proportional to 289,789.94, 434,638.26 and 79,378.70

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Solution

The fourth proportional to 289,789.94, 434,638.26 and 79,378.70 is: 119,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,789.94 : 434,638.26 = 79,378.70 : x
  2. Step 2: Convert to fraction form
    289,789.94/434,638.26 = 79,378.70/x
  3. Step 3: Cross multiply
    289,789.94x = 434,638.26 × 79,378.70
  4. Step 4: Simplify right side
    289,789.94x = 34,501,020,049.06
  5. Step 5: Solve for x
    x = 34,501,020,049.06/289,789.94
  6. Step 6: Final answer
    x = 119,055.27

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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.