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Finding the Fourth Proportional to 380,522.44, 525,101.70 and 208,438.12

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Solution

The fourth proportional to 380,522.44, 525,101.70 and 208,438.12 is: 287,634.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,522.44 : 525,101.70 = 208,438.12 : x
  2. Step 2: Convert to fraction form
    380,522.44/525,101.70 = 208,438.12/x
  3. Step 3: Cross multiply
    380,522.44x = 525,101.70 × 208,438.12
  4. Step 4: Simplify right side
    380,522.44x = 109,451,211,156.80
  5. Step 5: Solve for x
    x = 109,451,211,156.80/380,522.44
  6. Step 6: Final answer
    x = 287,634.05

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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.