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Finding the Fourth Proportional to 685,881.75, 946,516.64 and 379,978.01

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Solution

The fourth proportional to 685,881.75, 946,516.64 and 379,978.01 is: 524,369.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,881.75 : 946,516.64 = 379,978.01 : x
  2. Step 2: Convert to fraction form
    685,881.75/946,516.64 = 379,978.01/x
  3. Step 3: Cross multiply
    685,881.75x = 946,516.64 × 379,978.01
  4. Step 4: Simplify right side
    685,881.75x = 359,655,509,299.09
  5. Step 5: Solve for x
    x = 359,655,509,299.09/685,881.75
  6. Step 6: Final answer
    x = 524,369.56

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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.