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Finding the Fourth Proportional to 686,546.02, 947,489.64 and 380,718.33

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Solution

The fourth proportional to 686,546.02, 947,489.64 and 380,718.33 is: 525,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,546.02 : 947,489.64 = 380,718.33 : x
  2. Step 2: Convert to fraction form
    686,546.02/947,489.64 = 380,718.33/x
  3. Step 3: Cross multiply
    686,546.02x = 947,489.64 × 380,718.33
  4. Step 4: Simplify right side
    686,546.02x = 360,726,668,452.32
  5. Step 5: Solve for x
    x = 360,726,668,452.32/686,546.02
  6. Step 6: Final answer
    x = 525,422.41

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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.