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Finding the Fourth Proportional to 421,004.53, 580,821.30 and 259,579.32

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Solution

The fourth proportional to 421,004.53, 580,821.30 and 259,579.32 is: 358,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,004.53 : 580,821.30 = 259,579.32 : x
  2. Step 2: Convert to fraction form
    421,004.53/580,821.30 = 259,579.32/x
  3. Step 3: Cross multiply
    421,004.53x = 580,821.30 × 259,579.32
  4. Step 4: Simplify right side
    421,004.53x = 150,769,198,095.52
  5. Step 5: Solve for x
    x = 150,769,198,095.52/421,004.53
  6. Step 6: Final answer
    x = 358,117.76

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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.