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Finding the Fourth Proportional to 685,908.70, 946,543.78 and 379,984.45

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Solution

The fourth proportional to 685,908.70, 946,543.78 and 379,984.45 is: 524,372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,908.70 : 946,543.78 = 379,984.45 : x
  2. Step 2: Convert to fraction form
    685,908.70/946,543.78 = 379,984.45/x
  3. Step 3: Cross multiply
    685,908.70x = 946,543.78 × 379,984.45
  4. Step 4: Simplify right side
    685,908.70x = 359,671,917,644.22
  5. Step 5: Solve for x
    x = 359,671,917,644.22/685,908.70
  6. Step 6: Final answer
    x = 524,372.88

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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.