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Finding the Fourth Proportional to 290,304,402.20, 435,456,603.30 and 218,640,786.20

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Solution

The fourth proportional to 290,304,402.20, 435,456,603.30 and 218,640,786.20 is: 327,961,179.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,304,402.20 : 435,456,603.30 = 218,640,786.20 : x
  2. Step 2: Convert to fraction form
    290,304,402.20/435,456,603.30 = 218,640,786.20/x
  3. Step 3: Cross multiply
    290,304,402.20x = 435,456,603.30 × 218,640,786.20
  4. Step 4: Simplify right side
    290,304,402.20x = 95,208,574,101,493,504
  5. Step 5: Solve for x
    x = 95,208,574,101,493,504/290,304,402.20
  6. Step 6: Final answer
    x = 327,961,179.30

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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.