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Finding the Fourth Proportional to 450,378.87, 675,186.75 and 197,467.69

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Solution

The fourth proportional to 450,378.87, 675,186.75 and 197,467.69 is: 296,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,378.87 : 675,186.75 = 197,467.69 : x
  2. Step 2: Convert to fraction form
    450,378.87/675,186.75 = 197,467.69/x
  3. Step 3: Cross multiply
    450,378.87x = 675,186.75 × 197,467.69
  4. Step 4: Simplify right side
    450,378.87x = 133,327,567,841.11
  5. Step 5: Solve for x
    x = 133,327,567,841.11/450,378.87
  6. Step 6: Final answer
    x = 296,034.24

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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.