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Finding the Fourth Proportional to 272,802.70, 409,009.65 and 122,920.30

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Solution

The fourth proportional to 272,802.70, 409,009.65 and 122,920.30 is: 184,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,802.70 : 409,009.65 = 122,920.30 : x
  2. Step 2: Convert to fraction form
    272,802.70/409,009.65 = 122,920.30/x
  3. Step 3: Cross multiply
    272,802.70x = 409,009.65 × 122,920.30
  4. Step 4: Simplify right side
    272,802.70x = 50,275,588,880.90
  5. Step 5: Solve for x
    x = 50,275,588,880.90/272,802.70
  6. Step 6: Final answer
    x = 184,292.86

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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.