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Finding the Fourth Proportional to 421,697.49, 582,195.65 and 260,768.31

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Solution

The fourth proportional to 421,697.49, 582,195.65 and 260,768.31 is: 360,016.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,697.49 : 582,195.65 = 260,768.31 : x
  2. Step 2: Convert to fraction form
    421,697.49/582,195.65 = 260,768.31/x
  3. Step 3: Cross multiply
    421,697.49x = 582,195.65 × 260,768.31
  4. Step 4: Simplify right side
    421,697.49x = 151,818,174,436.01
  5. Step 5: Solve for x
    x = 151,818,174,436.01/421,697.49
  6. Step 6: Final answer
    x = 360,016.78

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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.