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Finding the Fourth Proportional to 686,584, 947,544.24 and 384,836.32

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Solution

The fourth proportional to 686,584, 947,544.24 and 384,836.32 is: 531,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,584 : 947,544.24 = 384,836.32 : x
  2. Step 2: Convert to fraction form
    686,584/947,544.24 = 384,836.32/x
  3. Step 3: Cross multiply
    686,584x = 947,544.24 × 384,836.32
  4. Step 4: Simplify right side
    686,584x = 364,649,438,358.80
  5. Step 5: Solve for x
    x = 364,649,438,358.80/686,584
  6. Step 6: Final answer
    x = 531,106.81

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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.