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Finding the Fourth Proportional to 320,871.47, 442,849.32 and 184,879.14

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Solution

The fourth proportional to 320,871.47, 442,849.32 and 184,879.14 is: 255,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,871.47 : 442,849.32 = 184,879.14 : x
  2. Step 2: Convert to fraction form
    320,871.47/442,849.32 = 184,879.14/x
  3. Step 3: Cross multiply
    320,871.47x = 442,849.32 × 184,879.14
  4. Step 4: Simplify right side
    320,871.47x = 81,873,601,431.18
  5. Step 5: Solve for x
    x = 81,873,601,431.18/320,871.47
  6. Step 6: Final answer
    x = 255,160.12

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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.