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Finding the Fourth Proportional to 685,908.96, 946,544.14 and 379,984.70

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Solution

The fourth proportional to 685,908.96, 946,544.14 and 379,984.70 is: 524,373.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,908.96 : 946,544.14 = 379,984.70 : x
  2. Step 2: Convert to fraction form
    685,908.96/946,544.14 = 379,984.70/x
  3. Step 3: Cross multiply
    685,908.96x = 946,544.14 × 379,984.70
  4. Step 4: Simplify right side
    685,908.96x = 359,672,291,074.66
  5. Step 5: Solve for x
    x = 359,672,291,074.66/685,908.96
  6. Step 6: Final answer
    x = 524,373.22

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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.