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Finding the Fourth Proportional to 371,116.98, 512,086.98 and 207,765

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Solution

The fourth proportional to 371,116.98, 512,086.98 and 207,765 is: 286,685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,116.98 : 512,086.98 = 207,765 : x
  2. Step 2: Convert to fraction form
    371,116.98/512,086.98 = 207,765/x
  3. Step 3: Cross multiply
    371,116.98x = 512,086.98 × 207,765
  4. Step 4: Simplify right side
    371,116.98x = 106,393,751,399.70
  5. Step 5: Solve for x
    x = 106,393,751,399.70/371,116.98
  6. Step 6: Final answer
    x = 286,685.22

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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.