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Finding the Fourth Proportional to 275,632.80, 413,449.20 and 213,424.80

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Solution

The fourth proportional to 275,632.80, 413,449.20 and 213,424.80 is: 320,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,632.80 : 413,449.20 = 213,424.80 : x
  2. Step 2: Convert to fraction form
    275,632.80/413,449.20 = 213,424.80/x
  3. Step 3: Cross multiply
    275,632.80x = 413,449.20 × 213,424.80
  4. Step 4: Simplify right side
    275,632.80x = 88,240,312,820.16
  5. Step 5: Solve for x
    x = 88,240,312,820.16/275,632.80
  6. Step 6: Final answer
    x = 320,137.20

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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.