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Finding the Fourth Proportional to 272,209.94, 408,397.80 and 139,183.64

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Solution

The fourth proportional to 272,209.94, 408,397.80 and 139,183.64 is: 208,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,209.94 : 408,397.80 = 139,183.64 : x
  2. Step 2: Convert to fraction form
    272,209.94/408,397.80 = 139,183.64/x
  3. Step 3: Cross multiply
    272,209.94x = 408,397.80 × 139,183.64
  4. Step 4: Simplify right side
    272,209.94x = 56,842,292,371.99
  5. Step 5: Solve for x
    x = 56,842,292,371.99/272,209.94
  6. Step 6: Final answer
    x = 208,817.84

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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.