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Finding the Fourth Proportional to 860,580,889.90, 1,187,566,548.97 and 508,270,936.30

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Solution

The fourth proportional to 860,580,889.90, 1,187,566,548.97 and 508,270,936.30 is: 701,393,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,580,889.90 : 1,187,566,548.97 = 508,270,936.30 : x
  2. Step 2: Convert to fraction form
    860,580,889.90/1,187,566,548.97 = 508,270,936.30/x
  3. Step 3: Cross multiply
    860,580,889.90x = 1,187,566,548.97 × 508,270,936.30
  4. Step 4: Simplify right side
    860,580,889.90x = 603,605,561,763,541,760
  5. Step 5: Solve for x
    x = 603,605,561,763,541,760/860,580,889.90
  6. Step 6: Final answer
    x = 701,393,173.90

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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.