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Finding the Fourth Proportional to 640,952.98, 961,356.03 and 167,684.02

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Solution

The fourth proportional to 640,952.98, 961,356.03 and 167,684.02 is: 251,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,952.98 : 961,356.03 = 167,684.02 : x
  2. Step 2: Convert to fraction form
    640,952.98/961,356.03 = 167,684.02/x
  3. Step 3: Cross multiply
    640,952.98x = 961,356.03 × 167,684.02
  4. Step 4: Simplify right side
    640,952.98x = 161,204,043,761.64
  5. Step 5: Solve for x
    x = 161,204,043,761.64/640,952.98
  6. Step 6: Final answer
    x = 251,506.82

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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.