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Finding the Fourth Proportional to 685,716.32, 946,267.60 and 379,780.56

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Solution

The fourth proportional to 685,716.32, 946,267.60 and 379,780.56 is: 524,085.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,716.32 : 946,267.60 = 379,780.56 : x
  2. Step 2: Convert to fraction form
    685,716.32/946,267.60 = 379,780.56/x
  3. Step 3: Cross multiply
    685,716.32x = 946,267.60 × 379,780.56
  4. Step 4: Simplify right side
    685,716.32x = 359,374,039,037.86
  5. Step 5: Solve for x
    x = 359,374,039,037.86/685,716.32
  6. Step 6: Final answer
    x = 524,085.59

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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.