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Finding the Fourth Proportional to 380,383.85, 570,575.24 and 114,143.93

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Solution

The fourth proportional to 380,383.85, 570,575.24 and 114,143.93 is: 171,215.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,383.85 : 570,575.24 = 114,143.93 : x
  2. Step 2: Convert to fraction form
    380,383.85/570,575.24 = 114,143.93/x
  3. Step 3: Cross multiply
    380,383.85x = 570,575.24 × 114,143.93
  4. Step 4: Simplify right side
    380,383.85x = 65,127,699,683.57
  5. Step 5: Solve for x
    x = 65,127,699,683.57/380,383.85
  6. Step 6: Final answer
    x = 171,215.73

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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.