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Finding the Fourth Proportional to 380,404.16, 570,701 and 114,169.56

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Solution

The fourth proportional to 380,404.16, 570,701 and 114,169.56 is: 171,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,404.16 : 570,701 = 114,169.56 : x
  2. Step 2: Convert to fraction form
    380,404.16/570,701 = 114,169.56/x
  3. Step 3: Cross multiply
    380,404.16x = 570,701 × 114,169.56
  4. Step 4: Simplify right side
    380,404.16x = 65,156,682,061.56
  5. Step 5: Solve for x
    x = 65,156,682,061.56/380,404.16
  6. Step 6: Final answer
    x = 171,282.78

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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.