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Finding the Fourth Proportional to 698,902, 1,048,353 and 200,266

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Solution

The fourth proportional to 698,902, 1,048,353 and 200,266 is: 300,399

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,902 : 1,048,353 = 200,266 : x
  2. Step 2: Convert to fraction form
    698,902/1,048,353 = 200,266/x
  3. Step 3: Cross multiply
    698,902x = 1,048,353 × 200,266
  4. Step 4: Simplify right side
    698,902x = 209,949,461,898
  5. Step 5: Solve for x
    x = 209,949,461,898/698,902
  6. Step 6: Final answer
    x = 300,399

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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.