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Finding the Fourth Proportional to 213,385.48, 320,078.46 and 55,613.80

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Solution

The fourth proportional to 213,385.48, 320,078.46 and 55,613.80 is: 83,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,385.48 : 320,078.46 = 55,613.80 : x
  2. Step 2: Convert to fraction form
    213,385.48/320,078.46 = 55,613.80/x
  3. Step 3: Cross multiply
    213,385.48x = 320,078.46 × 55,613.80
  4. Step 4: Simplify right side
    213,385.48x = 17,800,779,458.75
  5. Step 5: Solve for x
    x = 17,800,779,458.75/213,385.48
  6. Step 6: Final answer
    x = 83,420.76

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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.