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Finding the Fourth Proportional to 200,407.76, 276,429.65 and 128,878.28

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Solution

The fourth proportional to 200,407.76, 276,429.65 and 128,878.28 is: 177,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,407.76 : 276,429.65 = 128,878.28 : x
  2. Step 2: Convert to fraction form
    200,407.76/276,429.65 = 128,878.28/x
  3. Step 3: Cross multiply
    200,407.76x = 276,429.65 × 128,878.28
  4. Step 4: Simplify right side
    200,407.76x = 35,625,775,806.46
  5. Step 5: Solve for x
    x = 35,625,775,806.46/200,407.76
  6. Step 6: Final answer
    x = 177,766.45

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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.