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Finding the Fourth Proportional to 647,483,857.75, 971,234,053.89 and 187,422,469.93

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Solution

The fourth proportional to 647,483,857.75, 971,234,053.89 and 187,422,469.93 is: 281,136,097.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,483,857.75 : 971,234,053.89 = 187,422,469.93 : x
  2. Step 2: Convert to fraction form
    647,483,857.75/971,234,053.89 = 187,422,469.93/x
  3. Step 3: Cross multiply
    647,483,857.75x = 971,234,053.89 × 187,422,469.93
  4. Step 4: Simplify right side
    647,483,857.75x = 182,031,085,260,190,528
  5. Step 5: Solve for x
    x = 182,031,085,260,190,528/647,483,857.75
  6. Step 6: Final answer
    x = 281,136,097.96

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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.