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Finding the Fourth Proportional to 272,216.51, 408,407.84 and 139,190.21

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Solution

The fourth proportional to 272,216.51, 408,407.84 and 139,190.21 is: 208,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,216.51 : 408,407.84 = 139,190.21 : x
  2. Step 2: Convert to fraction form
    272,216.51/408,407.84 = 139,190.21/x
  3. Step 3: Cross multiply
    272,216.51x = 408,407.84 × 139,190.21
  4. Step 4: Simplify right side
    272,216.51x = 56,846,372,330.75
  5. Step 5: Solve for x
    x = 56,846,372,330.75/272,216.51
  6. Step 6: Final answer
    x = 208,827.79

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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.