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Finding the Fourth Proportional to 262,289.36, 361,945.80 and 143,034.32

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Solution

The fourth proportional to 262,289.36, 361,945.80 and 143,034.32 is: 197,379.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,289.36 : 361,945.80 = 143,034.32 : x
  2. Step 2: Convert to fraction form
    262,289.36/361,945.80 = 143,034.32/x
  3. Step 3: Cross multiply
    262,289.36x = 361,945.80 × 143,034.32
  4. Step 4: Simplify right side
    262,289.36x = 51,770,671,379.86
  5. Step 5: Solve for x
    x = 51,770,671,379.86/262,289.36
  6. Step 6: Final answer
    x = 197,379.99

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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.