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Finding the Fourth Proportional to 272,802.20, 409,008.90 and 122,919.80

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Solution

The fourth proportional to 272,802.20, 409,008.90 and 122,919.80 is: 184,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,802.20 : 409,008.90 = 122,919.80 : x
  2. Step 2: Convert to fraction form
    272,802.20/409,008.90 = 122,919.80/x
  3. Step 3: Cross multiply
    272,802.20x = 409,008.90 × 122,919.80
  4. Step 4: Simplify right side
    272,802.20x = 50,275,292,186.22
  5. Step 5: Solve for x
    x = 50,275,292,186.22/272,802.20
  6. Step 6: Final answer
    x = 184,292.11

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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.