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Finding the Fourth Proportional to 703,074.78, 970,238.34 and 380,777.49

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Solution

The fourth proportional to 703,074.78, 970,238.34 and 380,777.49 is: 525,470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,074.78 : 970,238.34 = 380,777.49 : x
  2. Step 2: Convert to fraction form
    703,074.78/970,238.34 = 380,777.49/x
  3. Step 3: Cross multiply
    703,074.78x = 970,238.34 × 380,777.49
  4. Step 4: Simplify right side
    703,074.78x = 369,444,919,806.97
  5. Step 5: Solve for x
    x = 369,444,919,806.97/703,074.78
  6. Step 6: Final answer
    x = 525,470.31

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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.