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Finding the Fourth Proportional to 321,642.64, 443,802.84 and 194,325.28

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Solution

The fourth proportional to 321,642.64, 443,802.84 and 194,325.28 is: 268,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,642.64 : 443,802.84 = 194,325.28 : x
  2. Step 2: Convert to fraction form
    321,642.64/443,802.84 = 194,325.28/x
  3. Step 3: Cross multiply
    321,642.64x = 443,802.84 × 194,325.28
  4. Step 4: Simplify right side
    321,642.64x = 86,242,111,147.80
  5. Step 5: Solve for x
    x = 86,242,111,147.80/321,642.64
  6. Step 6: Final answer
    x = 268,130.22

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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.