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Finding the Fourth Proportional to 320,639.86, 442,354.39 and 184,600.81

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Solution

The fourth proportional to 320,639.86, 442,354.39 and 184,600.81 is: 254,675.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,639.86 : 442,354.39 = 184,600.81 : x
  2. Step 2: Convert to fraction form
    320,639.86/442,354.39 = 184,600.81/x
  3. Step 3: Cross multiply
    320,639.86x = 442,354.39 × 184,600.81
  4. Step 4: Simplify right side
    320,639.86x = 81,658,978,701.06
  5. Step 5: Solve for x
    x = 81,658,978,701.06/320,639.86
  6. Step 6: Final answer
    x = 254,675.07

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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.