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Finding the Fourth Proportional to 393,681, 543,296.99 and 221,610.07

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Solution

The fourth proportional to 393,681, 543,296.99 and 221,610.07 is: 305,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,681 : 543,296.99 = 221,610.07 : x
  2. Step 2: Convert to fraction form
    393,681/543,296.99 = 221,610.07/x
  3. Step 3: Cross multiply
    393,681x = 543,296.99 × 221,610.07
  4. Step 4: Simplify right side
    393,681x = 120,400,083,984.69
  5. Step 5: Solve for x
    x = 120,400,083,984.69/393,681
  6. Step 6: Final answer
    x = 305,831.58

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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.