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Finding the Fourth Proportional to 421,745.22, 582,016.77 and 230,762.70

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Solution

The fourth proportional to 421,745.22, 582,016.77 and 230,762.70 is: 318,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,745.22 : 582,016.77 = 230,762.70 : x
  2. Step 2: Convert to fraction form
    421,745.22/582,016.77 = 230,762.70/x
  3. Step 3: Cross multiply
    421,745.22x = 582,016.77 × 230,762.70
  4. Step 4: Simplify right side
    421,745.22x = 134,307,761,290.48
  5. Step 5: Solve for x
    x = 134,307,761,290.48/421,745.22
  6. Step 6: Final answer
    x = 318,457.10

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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.