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Finding the Fourth Proportional to 834,961, 1,252,645.50 and 266,342.20

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Solution

The fourth proportional to 834,961, 1,252,645.50 and 266,342.20 is: 399,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,961 : 1,252,645.50 = 266,342.20 : x
  2. Step 2: Convert to fraction form
    834,961/1,252,645.50 = 266,342.20/x
  3. Step 3: Cross multiply
    834,961x = 1,252,645.50 × 266,342.20
  4. Step 4: Simplify right side
    834,961x = 333,632,358,290.10
  5. Step 5: Solve for x
    x = 333,632,358,290.10/834,961
  6. Step 6: Final answer
    x = 399,578.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.