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Finding the Fourth Proportional to 647,866.77, 971,383.88 and 269,048.81

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Solution

The fourth proportional to 647,866.77, 971,383.88 and 269,048.81 is: 403,400.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,866.77 : 971,383.88 = 269,048.81 : x
  2. Step 2: Convert to fraction form
    647,866.77/971,383.88 = 269,048.81/x
  3. Step 3: Cross multiply
    647,866.77x = 971,383.88 × 269,048.81
  4. Step 4: Simplify right side
    647,866.77x = 261,349,670,765.02
  5. Step 5: Solve for x
    x = 261,349,670,765.02/647,866.77
  6. Step 6: Final answer
    x = 403,400.33

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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.