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Finding the Fourth Proportional to 269,048.40, 403,572.60 and 199,237.20

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Solution

The fourth proportional to 269,048.40, 403,572.60 and 199,237.20 is: 298,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,048.40 : 403,572.60 = 199,237.20 : x
  2. Step 2: Convert to fraction form
    269,048.40/403,572.60 = 199,237.20/x
  3. Step 3: Cross multiply
    269,048.40x = 403,572.60 × 199,237.20
  4. Step 4: Simplify right side
    269,048.40x = 80,406,674,820.72
  5. Step 5: Solve for x
    x = 80,406,674,820.72/269,048.40
  6. Step 6: Final answer
    x = 298,855.80

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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.