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Finding the Fourth Proportional to 200,564.77, 276,619.94 and 170,449.78

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Solution

The fourth proportional to 200,564.77, 276,619.94 and 170,449.78 is: 235,085.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,564.77 : 276,619.94 = 170,449.78 : x
  2. Step 2: Convert to fraction form
    200,564.77/276,619.94 = 170,449.78/x
  3. Step 3: Cross multiply
    200,564.77x = 276,619.94 × 170,449.78
  4. Step 4: Simplify right side
    200,564.77x = 47,149,806,533.51
  5. Step 5: Solve for x
    x = 47,149,806,533.51/200,564.77
  6. Step 6: Final answer
    x = 235,085.19

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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.