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Finding the Fourth Proportional to 253,465.12, 379,842.36 and 197,047

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Solution

The fourth proportional to 253,465.12, 379,842.36 and 197,047 is: 295,294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,465.12 : 379,842.36 = 197,047 : x
  2. Step 2: Convert to fraction form
    253,465.12/379,842.36 = 197,047/x
  3. Step 3: Cross multiply
    253,465.12x = 379,842.36 × 197,047
  4. Step 4: Simplify right side
    253,465.12x = 74,846,797,510.92
  5. Step 5: Solve for x
    x = 74,846,797,510.92/253,465.12
  6. Step 6: Final answer
    x = 295,294.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.