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Finding the Fourth Proportional to 380,907.52, 525,640.98 and 208,819.60

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Solution

The fourth proportional to 380,907.52, 525,640.98 and 208,819.60 is: 288,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,907.52 : 525,640.98 = 208,819.60 : x
  2. Step 2: Convert to fraction form
    380,907.52/525,640.98 = 208,819.60/x
  3. Step 3: Cross multiply
    380,907.52x = 525,640.98 × 208,819.60
  4. Step 4: Simplify right side
    380,907.52x = 109,764,139,187.21
  5. Step 5: Solve for x
    x = 109,764,139,187.21/380,907.52
  6. Step 6: Final answer
    x = 288,164.80

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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.