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Finding the Fourth Proportional to 266,917.69, 368,345.41 and 144,409.68

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Solution

The fourth proportional to 266,917.69, 368,345.41 and 144,409.68 is: 199,284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,917.69 : 368,345.41 = 144,409.68 : x
  2. Step 2: Convert to fraction form
    266,917.69/368,345.41 = 144,409.68/x
  3. Step 3: Cross multiply
    266,917.69x = 368,345.41 × 144,409.68
  4. Step 4: Simplify right side
    266,917.69x = 53,192,641,390.57
  5. Step 5: Solve for x
    x = 53,192,641,390.57/266,917.69
  6. Step 6: Final answer
    x = 199,284.81

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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.