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Finding the Fourth Proportional to 523,768.20, 722,780.70 and 320,160.12

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Solution

The fourth proportional to 523,768.20, 722,780.70 and 320,160.12 is: 441,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,768.20 : 722,780.70 = 320,160.12 : x
  2. Step 2: Convert to fraction form
    523,768.20/722,780.70 = 320,160.12/x
  3. Step 3: Cross multiply
    523,768.20x = 722,780.70 × 320,160.12
  4. Step 4: Simplify right side
    523,768.20x = 231,405,555,645.68
  5. Step 5: Solve for x
    x = 231,405,555,645.68/523,768.20
  6. Step 6: Final answer
    x = 441,809.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.