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Finding the Fourth Proportional to 828,896, 1,243,344 and 267,930.50

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Solution

The fourth proportional to 828,896, 1,243,344 and 267,930.50 is: 401,895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,896 : 1,243,344 = 267,930.50 : x
  2. Step 2: Convert to fraction form
    828,896/1,243,344 = 267,930.50/x
  3. Step 3: Cross multiply
    828,896x = 1,243,344 × 267,930.50
  4. Step 4: Simplify right side
    828,896x = 333,129,779,592
  5. Step 5: Solve for x
    x = 333,129,779,592/828,896
  6. Step 6: Final answer
    x = 401,895.75

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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.