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Finding the Fourth Proportional to 289,656,287.80, 434,484,431.70 and 71,304,895.60

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Solution

The fourth proportional to 289,656,287.80, 434,484,431.70 and 71,304,895.60 is: 106,957,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,656,287.80 : 434,484,431.70 = 71,304,895.60 : x
  2. Step 2: Convert to fraction form
    289,656,287.80/434,484,431.70 = 71,304,895.60/x
  3. Step 3: Cross multiply
    289,656,287.80x = 434,484,431.70 × 71,304,895.60
  4. Step 4: Simplify right side
    289,656,287.80x = 30,980,867,042,193,828
  5. Step 5: Solve for x
    x = 30,980,867,042,193,828/289,656,287.80
  6. Step 6: Final answer
    x = 106,957,343.40

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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.