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Finding the Fourth Proportional to 380,491.86, 570,825.27 and 114,257.42

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Solution

The fourth proportional to 380,491.86, 570,825.27 and 114,257.42 is: 171,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,491.86 : 570,825.27 = 114,257.42 : x
  2. Step 2: Convert to fraction form
    380,491.86/570,825.27 = 114,257.42/x
  3. Step 3: Cross multiply
    380,491.86x = 570,825.27 × 114,257.42
  4. Step 4: Simplify right side
    380,491.86x = 65,221,019,766.88
  5. Step 5: Solve for x
    x = 65,221,019,766.88/380,491.86
  6. Step 6: Final answer
    x = 171,412.39

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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.