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Finding the Fourth Proportional to 654,504.69, 903,069.37 and 378,819.78

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Solution

The fourth proportional to 654,504.69, 903,069.37 and 378,819.78 is: 522,686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,504.69 : 903,069.37 = 378,819.78 : x
  2. Step 2: Convert to fraction form
    654,504.69/903,069.37 = 378,819.78/x
  3. Step 3: Cross multiply
    654,504.69x = 903,069.37 × 378,819.78
  4. Step 4: Simplify right side
    654,504.69x = 342,100,540,068.14
  5. Step 5: Solve for x
    x = 342,100,540,068.14/654,504.69
  6. Step 6: Final answer
    x = 522,686.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.