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Finding the Fourth Proportional to 421,005.53, 580,822.68 and 259,580.32

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Solution

The fourth proportional to 421,005.53, 580,822.68 and 259,580.32 is: 358,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,005.53 : 580,822.68 = 259,580.32 : x
  2. Step 2: Convert to fraction form
    421,005.53/580,822.68 = 259,580.32/x
  3. Step 3: Cross multiply
    421,005.53x = 580,822.68 × 259,580.32
  4. Step 4: Simplify right side
    421,005.53x = 150,770,137,137.66
  5. Step 5: Solve for x
    x = 150,770,137,137.66/421,005.53
  6. Step 6: Final answer
    x = 358,119.14

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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.