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Finding the Fourth Proportional to 412,859.85, 570,002.07 and 275,232.62

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Solution

The fourth proportional to 412,859.85, 570,002.07 and 275,232.62 is: 379,991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,859.85 : 570,002.07 = 275,232.62 : x
  2. Step 2: Convert to fraction form
    412,859.85/570,002.07 = 275,232.62/x
  3. Step 3: Cross multiply
    412,859.85x = 570,002.07 × 275,232.62
  4. Step 4: Simplify right side
    412,859.85x = 156,883,160,281.51
  5. Step 5: Solve for x
    x = 156,883,160,281.51/412,859.85
  6. Step 6: Final answer
    x = 379,991.32

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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.