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Finding the Fourth Proportional to 298,609.85, 446,862.31 and 186,342.90

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Solution

The fourth proportional to 298,609.85, 446,862.31 and 186,342.90 is: 278,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,609.85 : 446,862.31 = 186,342.90 : x
  2. Step 2: Convert to fraction form
    298,609.85/446,862.31 = 186,342.90/x
  3. Step 3: Cross multiply
    298,609.85x = 446,862.31 × 186,342.90
  4. Step 4: Simplify right side
    298,609.85x = 83,269,618,280.24
  5. Step 5: Solve for x
    x = 83,269,618,280.24/298,609.85
  6. Step 6: Final answer
    x = 278,857.58

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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.