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Finding the Fourth Proportional to 319,393, 479,090.22 and 97,777

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Solution

The fourth proportional to 319,393, 479,090.22 and 97,777 is: 146,665.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,393 : 479,090.22 = 97,777 : x
  2. Step 2: Convert to fraction form
    319,393/479,090.22 = 97,777/x
  3. Step 3: Cross multiply
    319,393x = 479,090.22 × 97,777
  4. Step 4: Simplify right side
    319,393x = 46,844,004,440.94
  5. Step 5: Solve for x
    x = 46,844,004,440.94/319,393
  6. Step 6: Final answer
    x = 146,665.72

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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.