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Finding the Fourth Proportional to 298,959.40, 448,215.90 and 180,605.80

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Solution

The fourth proportional to 298,959.40, 448,215.90 and 180,605.80 is: 270,773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,959.40 : 448,215.90 = 180,605.80 : x
  2. Step 2: Convert to fraction form
    298,959.40/448,215.90 = 180,605.80/x
  3. Step 3: Cross multiply
    298,959.40x = 448,215.90 × 180,605.80
  4. Step 4: Simplify right side
    298,959.40x = 80,950,391,192.22
  5. Step 5: Solve for x
    x = 80,950,391,192.22/298,959.40
  6. Step 6: Final answer
    x = 270,773.86

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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.