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Finding the Fourth Proportional to 421,907.10, 582,231.80 and 230,920.49

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Solution

The fourth proportional to 421,907.10, 582,231.80 and 230,920.49 is: 318,670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,907.10 : 582,231.80 = 230,920.49 : x
  2. Step 2: Convert to fraction form
    421,907.10/582,231.80 = 230,920.49/x
  3. Step 3: Cross multiply
    421,907.10x = 582,231.80 × 230,920.49
  4. Step 4: Simplify right side
    421,907.10x = 134,449,254,005.16
  5. Step 5: Solve for x
    x = 134,449,254,005.16/421,907.10
  6. Step 6: Final answer
    x = 318,670.28

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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.