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Finding the Fourth Proportional to 289,344.99, 434,013.03 and 78,982.32

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Solution

The fourth proportional to 289,344.99, 434,013.03 and 78,982.32 is: 118,472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,344.99 : 434,013.03 = 78,982.32 : x
  2. Step 2: Convert to fraction form
    289,344.99/434,013.03 = 78,982.32/x
  3. Step 3: Cross multiply
    289,344.99x = 434,013.03 × 78,982.32
  4. Step 4: Simplify right side
    289,344.99x = 34,279,356,019.63
  5. Step 5: Solve for x
    x = 34,279,356,019.63/289,344.99
  6. Step 6: Final answer
    x = 118,472.26

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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.