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Finding the Fourth Proportional to 378,396.72, 567,597.11 and 97,913.97

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Solution

The fourth proportional to 378,396.72, 567,597.11 and 97,913.97 is: 146,871.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,396.72 : 567,597.11 = 97,913.97 : x
  2. Step 2: Convert to fraction form
    378,396.72/567,597.11 = 97,913.97/x
  3. Step 3: Cross multiply
    378,396.72x = 567,597.11 × 97,913.97
  4. Step 4: Simplify right side
    378,396.72x = 55,575,685,911.06
  5. Step 5: Solve for x
    x = 55,575,685,911.06/378,396.72
  6. Step 6: Final answer
    x = 146,871.48

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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.