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Finding the Fourth Proportional to 686,563.87, 947,513.98 and 380,736.07

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Solution

The fourth proportional to 686,563.87, 947,513.98 and 380,736.07 is: 525,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,563.87 : 947,513.98 = 380,736.07 : x
  2. Step 2: Convert to fraction form
    686,563.87/947,513.98 = 380,736.07/x
  3. Step 3: Cross multiply
    686,563.87x = 947,513.98 × 380,736.07
  4. Step 4: Simplify right side
    686,563.87x = 360,752,749,015.26
  5. Step 5: Solve for x
    x = 360,752,749,015.26/686,563.87
  6. Step 6: Final answer
    x = 525,446.74

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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.