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Finding the Fourth Proportional to 275,405.09, 413,149.24 and 97,869.89

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Solution

The fourth proportional to 275,405.09, 413,149.24 and 97,869.89 is: 146,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,405.09 : 413,149.24 = 97,869.89 : x
  2. Step 2: Convert to fraction form
    275,405.09/413,149.24 = 97,869.89/x
  3. Step 3: Cross multiply
    275,405.09x = 413,149.24 × 97,869.89
  4. Step 4: Simplify right side
    275,405.09x = 40,434,871,827.59
  5. Step 5: Solve for x
    x = 40,434,871,827.59/275,405.09
  6. Step 6: Final answer
    x = 146,819.63

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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.