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Finding the Fourth Proportional to 213,642.34, 320,463.10 and 80,552.46

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Solution

The fourth proportional to 213,642.34, 320,463.10 and 80,552.46 is: 120,828.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,642.34 : 320,463.10 = 80,552.46 : x
  2. Step 2: Convert to fraction form
    213,642.34/320,463.10 = 80,552.46/x
  3. Step 3: Cross multiply
    213,642.34x = 320,463.10 × 80,552.46
  4. Step 4: Simplify right side
    213,642.34x = 25,814,091,044.23
  5. Step 5: Solve for x
    x = 25,814,091,044.23/213,642.34
  6. Step 6: Final answer
    x = 120,828.54

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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.