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Finding the Fourth Proportional to 320,695.78, 442,607.12 and 184,703.26

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Solution

The fourth proportional to 320,695.78, 442,607.12 and 184,703.26 is: 254,917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,695.78 : 442,607.12 = 184,703.26 : x
  2. Step 2: Convert to fraction form
    320,695.78/442,607.12 = 184,703.26/x
  3. Step 3: Cross multiply
    320,695.78x = 442,607.12 × 184,703.26
  4. Step 4: Simplify right side
    320,695.78x = 81,750,977,963.21
  5. Step 5: Solve for x
    x = 81,750,977,963.21/320,695.78
  6. Step 6: Final answer
    x = 254,917.54

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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.