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Finding the Fourth Proportional to 719,498, 1,079,299.32 and 276,266

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Solution

The fourth proportional to 719,498, 1,079,299.32 and 276,266 is: 414,419.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,498 : 1,079,299.32 = 276,266 : x
  2. Step 2: Convert to fraction form
    719,498/1,079,299.32 = 276,266/x
  3. Step 3: Cross multiply
    719,498x = 1,079,299.32 × 276,266
  4. Step 4: Simplify right side
    719,498x = 298,173,705,939.12
  5. Step 5: Solve for x
    x = 298,173,705,939.12/719,498
  6. Step 6: Final answer
    x = 414,419.09

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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.