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Finding the Fourth Proportional to 769,269.40, 1,154,117.40 and 320,201.80

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Solution

The fourth proportional to 769,269.40, 1,154,117.40 and 320,201.80 is: 480,391.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,269.40 : 1,154,117.40 = 320,201.80 : x
  2. Step 2: Convert to fraction form
    769,269.40/1,154,117.40 = 320,201.80/x
  3. Step 3: Cross multiply
    769,269.40x = 1,154,117.40 × 320,201.80
  4. Step 4: Simplify right side
    769,269.40x = 369,550,468,891.32
  5. Step 5: Solve for x
    x = 369,550,468,891.32/769,269.40
  6. Step 6: Final answer
    x = 480,391.48

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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.