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Finding the Fourth Proportional to 270,409.80, 405,845.10 and 120,880.20

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Solution

The fourth proportional to 270,409.80, 405,845.10 and 120,880.20 is: 181,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,409.80 : 405,845.10 = 120,880.20 : x
  2. Step 2: Convert to fraction form
    270,409.80/405,845.10 = 120,880.20/x
  3. Step 3: Cross multiply
    270,409.80x = 405,845.10 × 120,880.20
  4. Step 4: Simplify right side
    270,409.80x = 49,058,636,857.02
  5. Step 5: Solve for x
    x = 49,058,636,857.02/270,409.80
  6. Step 6: Final answer
    x = 181,423.29

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1.5x scale

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.