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Finding the Fourth Proportional to 703,077.28, 970,241.80 and 380,780

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Solution

The fourth proportional to 703,077.28, 970,241.80 and 380,780 is: 525,473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,077.28 : 970,241.80 = 380,780 : x
  2. Step 2: Convert to fraction form
    703,077.28/970,241.80 = 380,780/x
  3. Step 3: Cross multiply
    703,077.28x = 970,241.80 × 380,780
  4. Step 4: Simplify right side
    703,077.28x = 369,448,672,604
  5. Step 5: Solve for x
    x = 369,448,672,604/703,077.28
  6. Step 6: Final answer
    x = 525,473.78

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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.