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Finding the Fourth Proportional to 357,884.31, 493,889.79 and 194,551.80

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Solution

The fourth proportional to 357,884.31, 493,889.79 and 194,551.80 is: 268,486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,884.31 : 493,889.79 = 194,551.80 : x
  2. Step 2: Convert to fraction form
    357,884.31/493,889.79 = 194,551.80/x
  3. Step 3: Cross multiply
    357,884.31x = 493,889.79 × 194,551.80
  4. Step 4: Simplify right side
    357,884.31x = 96,087,147,646.12
  5. Step 5: Solve for x
    x = 96,087,147,646.12/357,884.31
  6. Step 6: Final answer
    x = 268,486.62

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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.