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Finding the Fourth Proportional to 319,578.40, 479,367.60 and 201,383.20

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Solution

The fourth proportional to 319,578.40, 479,367.60 and 201,383.20 is: 302,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,578.40 : 479,367.60 = 201,383.20 : x
  2. Step 2: Convert to fraction form
    319,578.40/479,367.60 = 201,383.20/x
  3. Step 3: Cross multiply
    319,578.40x = 479,367.60 × 201,383.20
  4. Step 4: Simplify right side
    319,578.40x = 96,536,581,264.32
  5. Step 5: Solve for x
    x = 96,536,581,264.32/319,578.40
  6. Step 6: Final answer
    x = 302,074.80

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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.