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Finding the Fourth Proportional to 272,828.70, 409,243.05 and 139,664.70

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Solution

The fourth proportional to 272,828.70, 409,243.05 and 139,664.70 is: 209,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,828.70 : 409,243.05 = 139,664.70 : x
  2. Step 2: Convert to fraction form
    272,828.70/409,243.05 = 139,664.70/x
  3. Step 3: Cross multiply
    272,828.70x = 409,243.05 × 139,664.70
  4. Step 4: Simplify right side
    272,828.70x = 57,156,807,805.34
  5. Step 5: Solve for x
    x = 57,156,807,805.34/272,828.70
  6. Step 6: Final answer
    x = 209,497.05

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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.