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Finding the Fourth Proportional to 686,568.88, 947,563.14 and 380,713.29

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Solution

The fourth proportional to 686,568.88, 947,563.14 and 380,713.29 is: 525,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,568.88 : 947,563.14 = 380,713.29 : x
  2. Step 2: Convert to fraction form
    686,568.88/947,563.14 = 380,713.29/x
  3. Step 3: Cross multiply
    686,568.88x = 947,563.14 × 380,713.29
  4. Step 4: Simplify right side
    686,568.88x = 360,749,880,512.13
  5. Step 5: Solve for x
    x = 360,749,880,512.13/686,568.88
  6. Step 6: Final answer
    x = 525,438.73

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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.