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Finding the Fourth Proportional to 301,880.88, 416,586.82 and 172,815

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Solution

The fourth proportional to 301,880.88, 416,586.82 and 172,815 is: 238,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,880.88 : 416,586.82 = 172,815 : x
  2. Step 2: Convert to fraction form
    301,880.88/416,586.82 = 172,815/x
  3. Step 3: Cross multiply
    301,880.88x = 416,586.82 × 172,815
  4. Step 4: Simplify right side
    301,880.88x = 71,992,451,298.30
  5. Step 5: Solve for x
    x = 71,992,451,298.30/301,880.88
  6. Step 6: Final answer
    x = 238,479.67

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1.5x scale

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.