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Finding the Fourth Proportional to 909,168, 1,363,806.68 and 278,087.28

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Solution

The fourth proportional to 909,168, 1,363,806.68 and 278,087.28 is: 417,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,168 : 1,363,806.68 = 278,087.28 : x
  2. Step 2: Convert to fraction form
    909,168/1,363,806.68 = 278,087.28/x
  3. Step 3: Cross multiply
    909,168x = 1,363,806.68 × 278,087.28
  4. Step 4: Simplify right side
    909,168x = 379,257,288,696.59
  5. Step 5: Solve for x
    x = 379,257,288,696.59/909,168
  6. Step 6: Final answer
    x = 417,147.64

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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.