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Finding the Fourth Proportional to 396,215.94, 594,302.07 and 289,709.04

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Solution

The fourth proportional to 396,215.94, 594,302.07 and 289,709.04 is: 434,547.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,215.94 : 594,302.07 = 289,709.04 : x
  2. Step 2: Convert to fraction form
    396,215.94/594,302.07 = 289,709.04/x
  3. Step 3: Cross multiply
    396,215.94x = 594,302.07 × 289,709.04
  4. Step 4: Simplify right side
    396,215.94x = 172,174,682,169.71
  5. Step 5: Solve for x
    x = 172,174,682,169.71/396,215.94
  6. Step 6: Final answer
    x = 434,547.59

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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.