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Finding the Fourth Proportional to 228,550.86, 315,295.41 and 148,004.31

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Solution

The fourth proportional to 228,550.86, 315,295.41 and 148,004.31 is: 204,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,550.86 : 315,295.41 = 148,004.31 : x
  2. Step 2: Convert to fraction form
    228,550.86/315,295.41 = 148,004.31/x
  3. Step 3: Cross multiply
    228,550.86x = 315,295.41 × 148,004.31
  4. Step 4: Simplify right side
    228,550.86x = 46,665,079,603.22
  5. Step 5: Solve for x
    x = 46,665,079,603.22/228,550.86
  6. Step 6: Final answer
    x = 204,178.10

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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.