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Finding the Fourth Proportional to 380,682.75, 571,024.14 and 131,364.75

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Solution

The fourth proportional to 380,682.75, 571,024.14 and 131,364.75 is: 197,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,682.75 : 571,024.14 = 131,364.75 : x
  2. Step 2: Convert to fraction form
    380,682.75/571,024.14 = 131,364.75/x
  3. Step 3: Cross multiply
    380,682.75x = 571,024.14 × 131,364.75
  4. Step 4: Simplify right side
    380,682.75x = 75,012,443,395.07
  5. Step 5: Solve for x
    x = 75,012,443,395.07/380,682.75
  6. Step 6: Final answer
    x = 197,047.13

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Similar ratio
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1.5x scale

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.