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Finding the Fourth Proportional to 471,840.96, 707,761.44 and 139,391.04

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Solution

The fourth proportional to 471,840.96, 707,761.44 and 139,391.04 is: 209,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,840.96 : 707,761.44 = 139,391.04 : x
  2. Step 2: Convert to fraction form
    471,840.96/707,761.44 = 139,391.04/x
  3. Step 3: Cross multiply
    471,840.96x = 707,761.44 × 139,391.04
  4. Step 4: Simplify right side
    471,840.96x = 98,655,603,193.50
  5. Step 5: Solve for x
    x = 98,655,603,193.50/471,840.96
  6. Step 6: Final answer
    x = 209,086.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.