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Finding the Fourth Proportional to 290,304,469.80, 435,456,704.70 and 260,743,228.20

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Solution

The fourth proportional to 290,304,469.80, 435,456,704.70 and 260,743,228.20 is: 391,114,842.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,304,469.80 : 435,456,704.70 = 260,743,228.20 : x
  2. Step 2: Convert to fraction form
    290,304,469.80/435,456,704.70 = 260,743,228.20/x
  3. Step 3: Cross multiply
    290,304,469.80x = 435,456,704.70 × 260,743,228.20
  4. Step 4: Simplify right side
    290,304,469.80x = 113,542,386,924,812,112
  5. Step 5: Solve for x
    x = 113,542,386,924,812,112/290,304,469.80
  6. Step 6: Final answer
    x = 391,114,842.30

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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.