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Finding the Fourth Proportional to 298,961.40, 448,442.10 and 214,980.60

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Solution

The fourth proportional to 298,961.40, 448,442.10 and 214,980.60 is: 322,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,961.40 : 448,442.10 = 214,980.60 : x
  2. Step 2: Convert to fraction form
    298,961.40/448,442.10 = 214,980.60/x
  3. Step 3: Cross multiply
    298,961.40x = 448,442.10 × 214,980.60
  4. Step 4: Simplify right side
    298,961.40x = 96,406,351,723.26
  5. Step 5: Solve for x
    x = 96,406,351,723.26/298,961.40
  6. Step 6: Final answer
    x = 322,470.90

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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.