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Finding the Fourth Proportional to 1,176,364, 1,764,546 and 289,900

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Solution

The fourth proportional to 1,176,364, 1,764,546 and 289,900 is: 434,850

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176,364 : 1,764,546 = 289,900 : x
  2. Step 2: Convert to fraction form
    1,176,364/1,764,546 = 289,900/x
  3. Step 3: Cross multiply
    1,176,364x = 1,764,546 × 289,900
  4. Step 4: Simplify right side
    1,176,364x = 511,541,885,400
  5. Step 5: Solve for x
    x = 511,541,885,400/1,176,364
  6. Step 6: Final answer
    x = 434,850

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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.