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Finding the Fourth Proportional to 321,706, 443,888.40 and 178,435.36

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Solution

The fourth proportional to 321,706, 443,888.40 and 178,435.36 is: 246,204.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,706 : 443,888.40 = 178,435.36 : x
  2. Step 2: Convert to fraction form
    321,706/443,888.40 = 178,435.36/x
  3. Step 3: Cross multiply
    321,706x = 443,888.40 × 178,435.36
  4. Step 4: Simplify right side
    321,706x = 79,205,386,453.82
  5. Step 5: Solve for x
    x = 79,205,386,453.82/321,706
  6. Step 6: Final answer
    x = 246,204.26

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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.