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Finding the Fourth Proportional to 290,304,314.20, 435,456,471.30 and 218,640,698.20

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Solution

The fourth proportional to 290,304,314.20, 435,456,471.30 and 218,640,698.20 is: 327,961,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,304,314.20 : 435,456,471.30 = 218,640,698.20 : x
  2. Step 2: Convert to fraction form
    290,304,314.20/435,456,471.30 = 218,640,698.20/x
  3. Step 3: Cross multiply
    290,304,314.20x = 435,456,471.30 × 218,640,698.20
  4. Step 4: Simplify right side
    290,304,314.20x = 95,208,506,920,740,256
  5. Step 5: Solve for x
    x = 95,208,506,920,740,256/290,304,314.20
  6. Step 6: Final answer
    x = 327,961,047.30

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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.