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Finding the Fourth Proportional to 307,693, 461,556.78 and 86,094.28

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Solution

The fourth proportional to 307,693, 461,556.78 and 86,094.28 is: 129,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,693 : 461,556.78 = 86,094.28 : x
  2. Step 2: Convert to fraction form
    307,693/461,556.78 = 86,094.28/x
  3. Step 3: Cross multiply
    307,693x = 461,556.78 × 86,094.28
  4. Step 4: Simplify right side
    307,693x = 39,737,398,653.22
  5. Step 5: Solve for x
    x = 39,737,398,653.22/307,693
  6. Step 6: Final answer
    x = 129,146.26

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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.