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Finding the Fourth Proportional to 682,588.32, 941,969.04 and 380,782.56

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Solution

The fourth proportional to 682,588.32, 941,969.04 and 380,782.56 is: 525,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,588.32 : 941,969.04 = 380,782.56 : x
  2. Step 2: Convert to fraction form
    682,588.32/941,969.04 = 380,782.56/x
  3. Step 3: Cross multiply
    682,588.32x = 941,969.04 × 380,782.56
  4. Step 4: Simplify right side
    682,588.32x = 358,685,382,491.94
  5. Step 5: Solve for x
    x = 358,685,382,491.94/682,588.32
  6. Step 6: Final answer
    x = 525,478.35

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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.