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Finding the Fourth Proportional to 654,009, 980,479.26 and 338,556.84

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Solution

The fourth proportional to 654,009, 980,479.26 and 338,556.84 is: 507,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,009 : 980,479.26 = 338,556.84 : x
  2. Step 2: Convert to fraction form
    654,009/980,479.26 = 338,556.84/x
  3. Step 3: Cross multiply
    654,009x = 980,479.26 × 338,556.84
  4. Step 4: Simplify right side
    654,009x = 331,947,959,951.14
  5. Step 5: Solve for x
    x = 331,947,959,951.14/654,009
  6. Step 6: Final answer
    x = 507,558.70

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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.