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Finding the Fourth Proportional to 382,669, 528,083.22 and 223,693

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Solution

The fourth proportional to 382,669, 528,083.22 and 223,693 is: 308,696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,669 : 528,083.22 = 223,693 : x
  2. Step 2: Convert to fraction form
    382,669/528,083.22 = 223,693/x
  3. Step 3: Cross multiply
    382,669x = 528,083.22 × 223,693
  4. Step 4: Simplify right side
    382,669x = 118,128,519,731.46
  5. Step 5: Solve for x
    x = 118,128,519,731.46/382,669
  6. Step 6: Final answer
    x = 308,696.34

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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.