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Finding the Fourth Proportional to 702,372.74, 969,276.92 and 380,082.80

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Solution

The fourth proportional to 702,372.74, 969,276.92 and 380,082.80 is: 524,515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,372.74 : 969,276.92 = 380,082.80 : x
  2. Step 2: Convert to fraction form
    702,372.74/969,276.92 = 380,082.80/x
  3. Step 3: Cross multiply
    702,372.74x = 969,276.92 × 380,082.80
  4. Step 4: Simplify right side
    702,372.74x = 368,405,485,728.98
  5. Step 5: Solve for x
    x = 368,405,485,728.98/702,372.74
  6. Step 6: Final answer
    x = 524,515.64

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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.