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Finding the Fourth Proportional to 469,900.21, 648,167.27 and 278,778.25

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Solution

The fourth proportional to 469,900.21, 648,167.27 and 278,778.25 is: 384,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,900.21 : 648,167.27 = 278,778.25 : x
  2. Step 2: Convert to fraction form
    469,900.21/648,167.27 = 278,778.25/x
  3. Step 3: Cross multiply
    469,900.21x = 648,167.27 × 278,778.25
  4. Step 4: Simplify right side
    469,900.21x = 180,694,935,843.99
  5. Step 5: Solve for x
    x = 180,694,935,843.99/469,900.21
  6. Step 6: Final answer
    x = 384,538.96

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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.