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Finding the Fourth Proportional to 321,643.14, 443,803.53 and 194,325.78

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Solution

The fourth proportional to 321,643.14, 443,803.53 and 194,325.78 is: 268,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,643.14 : 443,803.53 = 194,325.78 : x
  2. Step 2: Convert to fraction form
    321,643.14/443,803.53 = 194,325.78/x
  3. Step 3: Cross multiply
    321,643.14x = 443,803.53 × 194,325.78
  4. Step 4: Simplify right side
    321,643.14x = 86,242,467,134.00
  5. Step 5: Solve for x
    x = 86,242,467,134.00/321,643.14
  6. Step 6: Final answer
    x = 268,130.91

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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.