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Finding the Fourth Proportional to 228,580.16, 315,442.94 and 137,918.58

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Solution

The fourth proportional to 228,580.16, 315,442.94 and 137,918.58 is: 190,329.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,580.16 : 315,442.94 = 137,918.58 : x
  2. Step 2: Convert to fraction form
    228,580.16/315,442.94 = 137,918.58/x
  3. Step 3: Cross multiply
    228,580.16x = 315,442.94 × 137,918.58
  4. Step 4: Simplify right side
    228,580.16x = 43,505,442,355.83
  5. Step 5: Solve for x
    x = 43,505,442,355.83/228,580.16
  6. Step 6: Final answer
    x = 190,329.04

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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.