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Finding the Fourth Proportional to 228,887.78, 343,414.59 and 139,114.16

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Solution

The fourth proportional to 228,887.78, 343,414.59 and 139,114.16 is: 208,721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,887.78 : 343,414.59 = 139,114.16 : x
  2. Step 2: Convert to fraction form
    228,887.78/343,414.59 = 139,114.16/x
  3. Step 3: Cross multiply
    228,887.78x = 343,414.59 × 139,114.16
  4. Step 4: Simplify right side
    228,887.78x = 47,773,831,268.65
  5. Step 5: Solve for x
    x = 47,773,831,268.65/228,887.78
  6. Step 6: Final answer
    x = 208,721.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.