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Finding the Fourth Proportional to 380,806.57, 525,509.80 and 208,734.09

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Solution

The fourth proportional to 380,806.57, 525,509.80 and 208,734.09 is: 288,051.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,806.57 : 525,509.80 = 208,734.09 : x
  2. Step 2: Convert to fraction form
    380,806.57/525,509.80 = 208,734.09/x
  3. Step 3: Cross multiply
    380,806.57x = 525,509.80 × 208,734.09
  4. Step 4: Simplify right side
    380,806.57x = 109,691,809,889.08
  5. Step 5: Solve for x
    x = 109,691,809,889.08/380,806.57
  6. Step 6: Final answer
    x = 288,051.25

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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.