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Finding the Fourth Proportional to 1,176,336, 1,764,504 and 289,872

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Solution

The fourth proportional to 1,176,336, 1,764,504 and 289,872 is: 434,808

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176,336 : 1,764,504 = 289,872 : x
  2. Step 2: Convert to fraction form
    1,176,336/1,764,504 = 289,872/x
  3. Step 3: Cross multiply
    1,176,336x = 1,764,504 × 289,872
  4. Step 4: Simplify right side
    1,176,336x = 511,480,303,488
  5. Step 5: Solve for x
    x = 511,480,303,488/1,176,336
  6. Step 6: Final answer
    x = 434,808

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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.