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Finding the Fourth Proportional to 401,455.86, 553,969.17 and 231,744.66

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Solution

The fourth proportional to 401,455.86, 553,969.17 and 231,744.66 is: 319,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,455.86 : 553,969.17 = 231,744.66 : x
  2. Step 2: Convert to fraction form
    401,455.86/553,969.17 = 231,744.66/x
  3. Step 3: Cross multiply
    401,455.86x = 553,969.17 × 231,744.66
  4. Step 4: Simplify right side
    401,455.86x = 128,379,396,952.13
  5. Step 5: Solve for x
    x = 128,379,396,952.13/401,455.86
  6. Step 6: Final answer
    x = 319,784.59

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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.