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Finding the Fourth Proportional to 319,240,978.86, 440,515,114.83 and 180,003,443.34

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Solution

The fourth proportional to 319,240,978.86, 440,515,114.83 and 180,003,443.34 is: 248,383,643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,240,978.86 : 440,515,114.83 = 180,003,443.34 : x
  2. Step 2: Convert to fraction form
    319,240,978.86/440,515,114.83 = 180,003,443.34/x
  3. Step 3: Cross multiply
    319,240,978.86x = 440,515,114.83 × 180,003,443.34
  4. Step 4: Simplify right side
    319,240,978.86x = 79,294,237,512,715,504
  5. Step 5: Solve for x
    x = 79,294,237,512,715,504/319,240,978.86
  6. Step 6: Final answer
    x = 248,383,643.59

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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.