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Finding the Fourth Proportional to 396,004.65, 594,006.98 and 254,287.05

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Solution

The fourth proportional to 396,004.65, 594,006.98 and 254,287.05 is: 381,430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,004.65 : 594,006.98 = 254,287.05 : x
  2. Step 2: Convert to fraction form
    396,004.65/594,006.98 = 254,287.05/x
  3. Step 3: Cross multiply
    396,004.65x = 594,006.98 × 254,287.05
  4. Step 4: Simplify right side
    396,004.65x = 151,048,281,352.17
  5. Step 5: Solve for x
    x = 151,048,281,352.17/396,004.65
  6. Step 6: Final answer
    x = 381,430.58

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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.