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Finding the Fourth Proportional to 320,863.70, 442,802.31 and 184,887.20

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Solution

The fourth proportional to 320,863.70, 442,802.31 and 184,887.20 is: 255,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,863.70 : 442,802.31 = 184,887.20 : x
  2. Step 2: Convert to fraction form
    320,863.70/442,802.31 = 184,887.20/x
  3. Step 3: Cross multiply
    320,863.70x = 442,802.31 × 184,887.20
  4. Step 4: Simplify right side
    320,863.70x = 81,868,479,249.43
  5. Step 5: Solve for x
    x = 81,868,479,249.43/320,863.70
  6. Step 6: Final answer
    x = 255,150.33

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1.5x scale

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.