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Finding the Fourth Proportional to 380,563.87, 525,155.61 and 208,447.51

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Solution

The fourth proportional to 380,563.87, 525,155.61 and 208,447.51 is: 287,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,563.87 : 525,155.61 = 208,447.51 : x
  2. Step 2: Convert to fraction form
    380,563.87/525,155.61 = 208,447.51/x
  3. Step 3: Cross multiply
    380,563.87x = 525,155.61 × 208,447.51
  4. Step 4: Simplify right side
    380,563.87x = 109,467,379,267.03
  5. Step 5: Solve for x
    x = 109,467,379,267.03/380,563.87
  6. Step 6: Final answer
    x = 287,645.22

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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.