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Finding the Fourth Proportional to 702,980.82, 970,105.95 and 397,057.79

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Solution

The fourth proportional to 702,980.82, 970,105.95 and 397,057.79 is: 547,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,980.82 : 970,105.95 = 397,057.79 : x
  2. Step 2: Convert to fraction form
    702,980.82/970,105.95 = 397,057.79/x
  3. Step 3: Cross multiply
    702,980.82x = 970,105.95 × 397,057.79
  4. Step 4: Simplify right side
    702,980.82x = 385,188,126,998.12
  5. Step 5: Solve for x
    x = 385,188,126,998.12/702,980.82
  6. Step 6: Final answer
    x = 547,935.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.