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Finding the Fourth Proportional to 806,825.82, 1,210,459.74 and 238,206.73

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Solution

The fourth proportional to 806,825.82, 1,210,459.74 and 238,206.73 is: 357,375.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,825.82 : 1,210,459.74 = 238,206.73 : x
  2. Step 2: Convert to fraction form
    806,825.82/1,210,459.74 = 238,206.73/x
  3. Step 3: Cross multiply
    806,825.82x = 1,210,459.74 × 238,206.73
  4. Step 4: Simplify right side
    806,825.82x = 288,339,652,077.78
  5. Step 5: Solve for x
    x = 288,339,652,077.78/806,825.82
  6. Step 6: Final answer
    x = 357,375.34

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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.