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Finding the Fourth Proportional to 289,762,654.89, 399,836,169.80 and 195,881,069.48

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Solution

The fourth proportional to 289,762,654.89, 399,836,169.80 and 195,881,069.48 is: 270,291,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,762,654.89 : 399,836,169.80 = 195,881,069.48 : x
  2. Step 2: Convert to fraction form
    289,762,654.89/399,836,169.80 = 195,881,069.48/x
  3. Step 3: Cross multiply
    289,762,654.89x = 399,836,169.80 × 195,881,069.48
  4. Step 4: Simplify right side
    289,762,654.89x = 78,320,336,554,232,288
  5. Step 5: Solve for x
    x = 78,320,336,554,232,288/289,762,654.89
  6. Step 6: Final answer
    x = 270,291,340.97

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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.