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Finding the Fourth Proportional to 298,481.30, 446,737.80 and 209,907.80

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Solution

The fourth proportional to 298,481.30, 446,737.80 and 209,907.80 is: 314,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,481.30 : 446,737.80 = 209,907.80 : x
  2. Step 2: Convert to fraction form
    298,481.30/446,737.80 = 209,907.80/x
  3. Step 3: Cross multiply
    298,481.30x = 446,737.80 × 209,907.80
  4. Step 4: Simplify right side
    298,481.30x = 93,773,748,774.84
  5. Step 5: Solve for x
    x = 93,773,748,774.84/298,481.30
  6. Step 6: Final answer
    x = 314,169.59

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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.