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Finding the Fourth Proportional to 320,351.40, 442,117.80 and 184,390.44

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Solution

The fourth proportional to 320,351.40, 442,117.80 and 184,390.44 is: 254,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,351.40 : 442,117.80 = 184,390.44 : x
  2. Step 2: Convert to fraction form
    320,351.40/442,117.80 = 184,390.44/x
  3. Step 3: Cross multiply
    320,351.40x = 442,117.80 × 184,390.44
  4. Step 4: Simplify right side
    320,351.40x = 81,522,295,673.83
  5. Step 5: Solve for x
    x = 81,522,295,673.83/320,351.40
  6. Step 6: Final answer
    x = 254,477.73

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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.