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Finding the Fourth Proportional to 213,588.80, 320,613.60 and 120,276.80

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Solution

The fourth proportional to 213,588.80, 320,613.60 and 120,276.80 is: 180,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,588.80 : 320,613.60 = 120,276.80 : x
  2. Step 2: Convert to fraction form
    213,588.80/320,613.60 = 120,276.80/x
  3. Step 3: Cross multiply
    213,588.80x = 320,613.60 × 120,276.80
  4. Step 4: Simplify right side
    213,588.80x = 38,562,377,844.48
  5. Step 5: Solve for x
    x = 38,562,377,844.48/213,588.80
  6. Step 6: Final answer
    x = 180,544.94

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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.