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Finding the Fourth Proportional to 213,728.80, 320,823.60 and 120,416.80

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Solution

The fourth proportional to 213,728.80, 320,823.60 and 120,416.80 is: 180,755.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,728.80 : 320,823.60 = 120,416.80 : x
  2. Step 2: Convert to fraction form
    213,728.80/320,823.60 = 120,416.80/x
  3. Step 3: Cross multiply
    213,728.80x = 320,823.60 × 120,416.80
  4. Step 4: Simplify right side
    213,728.80x = 38,632,551,276.48
  5. Step 5: Solve for x
    x = 38,632,551,276.48/213,728.80
  6. Step 6: Final answer
    x = 180,755.01

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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.