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Finding the Fourth Proportional to 380,286.09, 524,386.71 and 320,515.38

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Solution

The fourth proportional to 380,286.09, 524,386.71 and 320,515.38 is: 441,967.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,286.09 : 524,386.71 = 320,515.38 : x
  2. Step 2: Convert to fraction form
    380,286.09/524,386.71 = 320,515.38/x
  3. Step 3: Cross multiply
    380,286.09x = 524,386.71 × 320,515.38
  4. Step 4: Simplify right side
    380,286.09x = 168,074,005,622.60
  5. Step 5: Solve for x
    x = 168,074,005,622.60/380,286.09
  6. Step 6: Final answer
    x = 441,967.27

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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.