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Finding the Fourth Proportional to 1,376,830.23, 1,899,906.84 and 764,971.80

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Solution

The fourth proportional to 1,376,830.23, 1,899,906.84 and 764,971.80 is: 1,055,595.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,830.23 : 1,899,906.84 = 764,971.80 : x
  2. Step 2: Convert to fraction form
    1,376,830.23/1,899,906.84 = 764,971.80/x
  3. Step 3: Cross multiply
    1,376,830.23x = 1,899,906.84 × 764,971.80
  4. Step 4: Simplify right side
    1,376,830.23x = 1,453,375,155,227.11
  5. Step 5: Solve for x
    x = 1,453,375,155,227.11/1,376,830.23
  6. Step 6: Final answer
    x = 1,055,595.04

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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.