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Finding the Fourth Proportional to 404,894.13, 607,278.95 and 135,027

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Solution

The fourth proportional to 404,894.13, 607,278.95 and 135,027 is: 202,519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,894.13 : 607,278.95 = 135,027 : x
  2. Step 2: Convert to fraction form
    404,894.13/607,278.95 = 135,027/x
  3. Step 3: Cross multiply
    404,894.13x = 607,278.95 × 135,027
  4. Step 4: Simplify right side
    404,894.13x = 81,999,054,106.52
  5. Step 5: Solve for x
    x = 81,999,054,106.52/404,894.13
  6. Step 6: Final answer
    x = 202,519.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.