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Finding the Fourth Proportional to 447,920.96, 670,302.74 and 279,520.54

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Solution

The fourth proportional to 447,920.96, 670,302.74 and 279,520.54 is: 418,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,920.96 : 670,302.74 = 279,520.54 : x
  2. Step 2: Convert to fraction form
    447,920.96/670,302.74 = 279,520.54/x
  3. Step 3: Cross multiply
    447,920.96x = 670,302.74 × 279,520.54
  4. Step 4: Simplify right side
    447,920.96x = 187,363,382,871.32
  5. Step 5: Solve for x
    x = 187,363,382,871.32/447,920.96
  6. Step 6: Final answer
    x = 418,295.64

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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.