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Finding the Fourth Proportional to 398,424.94, 597,696.23 and 142,237.65

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Solution

The fourth proportional to 398,424.94, 597,696.23 and 142,237.65 is: 213,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,424.94 : 597,696.23 = 142,237.65 : x
  2. Step 2: Convert to fraction form
    398,424.94/597,696.23 = 142,237.65/x
  3. Step 3: Cross multiply
    398,424.94x = 597,696.23 × 142,237.65
  4. Step 4: Simplify right side
    398,424.94x = 85,014,903,469.39
  5. Step 5: Solve for x
    x = 85,014,903,469.39/398,424.94
  6. Step 6: Final answer
    x = 213,377.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.