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Finding the Fourth Proportional to 682,236, 941,505.12 and 380,449.44

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Solution

The fourth proportional to 682,236, 941,505.12 and 380,449.44 is: 525,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,236 : 941,505.12 = 380,449.44 : x
  2. Step 2: Convert to fraction form
    682,236/941,505.12 = 380,449.44/x
  3. Step 3: Cross multiply
    682,236x = 941,505.12 × 380,449.44
  4. Step 4: Simplify right side
    682,236x = 358,195,095,661.13
  5. Step 5: Solve for x
    x = 358,195,095,661.13/682,236
  6. Step 6: Final answer
    x = 525,031.07

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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.