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Finding the Fourth Proportional to 272,676.57, 409,079.76 and 137,408.28

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Solution

The fourth proportional to 272,676.57, 409,079.76 and 137,408.28 is: 206,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,676.57 : 409,079.76 = 137,408.28 : x
  2. Step 2: Convert to fraction form
    272,676.57/409,079.76 = 137,408.28/x
  3. Step 3: Cross multiply
    272,676.57x = 409,079.76 × 137,408.28
  4. Step 4: Simplify right side
    272,676.57x = 56,210,946,204.41
  5. Step 5: Solve for x
    x = 56,210,946,204.41/272,676.57
  6. Step 6: Final answer
    x = 206,145.13

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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.