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Finding the Fourth Proportional to 401,408.78, 553,969.73 and 265,203.77

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Solution

The fourth proportional to 401,408.78, 553,969.73 and 265,203.77 is: 365,998.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,408.78 : 553,969.73 = 265,203.77 : x
  2. Step 2: Convert to fraction form
    401,408.78/553,969.73 = 265,203.77/x
  3. Step 3: Cross multiply
    401,408.78x = 553,969.73 × 265,203.77
  4. Step 4: Simplify right side
    401,408.78x = 146,914,858,755.04
  5. Step 5: Solve for x
    x = 146,914,858,755.04/401,408.78
  6. Step 6: Final answer
    x = 365,998.12

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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.