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Finding the Fourth Proportional to 361,895.40, 499,406 and 208,928.44

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Solution

The fourth proportional to 361,895.40, 499,406 and 208,928.44 is: 288,315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,895.40 : 499,406 = 208,928.44 : x
  2. Step 2: Convert to fraction form
    361,895.40/499,406 = 208,928.44/x
  3. Step 3: Cross multiply
    361,895.40x = 499,406 × 208,928.44
  4. Step 4: Simplify right side
    361,895.40x = 104,340,116,506.64
  5. Step 5: Solve for x
    x = 104,340,116,506.64/361,895.40
  6. Step 6: Final answer
    x = 288,315.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.