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Finding the Fourth Proportional to 421,698.49, 582,197.03 and 260,769.31

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Solution

The fourth proportional to 421,698.49, 582,197.03 and 260,769.31 is: 360,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,698.49 : 582,197.03 = 260,769.31 : x
  2. Step 2: Convert to fraction form
    421,698.49/582,197.03 = 260,769.31/x
  3. Step 3: Cross multiply
    421,698.49x = 582,197.03 × 260,769.31
  4. Step 4: Simplify right side
    421,698.49x = 151,819,117,797.15
  5. Step 5: Solve for x
    x = 151,819,117,797.15/421,698.49
  6. Step 6: Final answer
    x = 360,018.17

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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.