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Finding the Fourth Proportional to 401,456.86, 553,970.55 and 231,745.66

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Solution

The fourth proportional to 401,456.86, 553,970.55 and 231,745.66 is: 319,785.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,456.86 : 553,970.55 = 231,745.66 : x
  2. Step 2: Convert to fraction form
    401,456.86/553,970.55 = 231,745.66/x
  3. Step 3: Cross multiply
    401,456.86x = 553,970.55 × 231,745.66
  4. Step 4: Simplify right side
    401,456.86x = 128,380,270,730.31
  5. Step 5: Solve for x
    x = 128,380,270,730.31/401,456.86
  6. Step 6: Final answer
    x = 319,785.97

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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.