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Finding the Fourth Proportional to 382,716.47, 528,080.64 and 221,563.73

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Solution

The fourth proportional to 382,716.47, 528,080.64 and 221,563.73 is: 305,718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,716.47 : 528,080.64 = 221,563.73 : x
  2. Step 2: Convert to fraction form
    382,716.47/528,080.64 = 221,563.73/x
  3. Step 3: Cross multiply
    382,716.47x = 528,080.64 × 221,563.73
  4. Step 4: Simplify right side
    382,716.47x = 117,003,516,339.19
  5. Step 5: Solve for x
    x = 117,003,516,339.19/382,716.47
  6. Step 6: Final answer
    x = 305,718.53

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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.