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Finding the Fourth Proportional to 396,940.80, 596,102.40 and 210,316.80

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Solution

The fourth proportional to 396,940.80, 596,102.40 and 210,316.80 is: 315,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,940.80 : 596,102.40 = 210,316.80 : x
  2. Step 2: Convert to fraction form
    396,940.80/596,102.40 = 210,316.80/x
  3. Step 3: Cross multiply
    396,940.80x = 596,102.40 × 210,316.80
  4. Step 4: Simplify right side
    396,940.80x = 125,370,349,240.32
  5. Step 5: Solve for x
    x = 125,370,349,240.32/396,940.80
  6. Step 6: Final answer
    x = 315,841.43

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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.