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Finding the Fourth Proportional to 686,649.21, 947,587.28 and 380,738.49

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Solution

The fourth proportional to 686,649.21, 947,587.28 and 380,738.49 is: 525,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,649.21 : 947,587.28 = 380,738.49 : x
  2. Step 2: Convert to fraction form
    686,649.21/947,587.28 = 380,738.49/x
  3. Step 3: Cross multiply
    686,649.21x = 947,587.28 × 380,738.49
  4. Step 4: Simplify right side
    686,649.21x = 360,782,948,226.72
  5. Step 5: Solve for x
    x = 360,782,948,226.72/686,649.21
  6. Step 6: Final answer
    x = 525,425.42

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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.