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Finding the Fourth Proportional to 272,801.70, 409,008.15 and 122,919.30

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Solution

The fourth proportional to 272,801.70, 409,008.15 and 122,919.30 is: 184,291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,801.70 : 409,008.15 = 122,919.30 : x
  2. Step 2: Convert to fraction form
    272,801.70/409,008.15 = 122,919.30/x
  3. Step 3: Cross multiply
    272,801.70x = 409,008.15 × 122,919.30
  4. Step 4: Simplify right side
    272,801.70x = 50,274,995,492.30
  5. Step 5: Solve for x
    x = 50,274,995,492.30/272,801.70
  6. Step 6: Final answer
    x = 184,291.36

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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.