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Finding the Fourth Proportional to 296,970, 445,243.38 and 139,112.36

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Solution

The fourth proportional to 296,970, 445,243.38 and 139,112.36 is: 208,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,970 : 445,243.38 = 139,112.36 : x
  2. Step 2: Convert to fraction form
    296,970/445,243.38 = 139,112.36/x
  3. Step 3: Cross multiply
    296,970x = 445,243.38 × 139,112.36
  4. Step 4: Simplify right side
    296,970x = 61,938,857,366.18
  5. Step 5: Solve for x
    x = 61,938,857,366.18/296,970
  6. Step 6: Final answer
    x = 208,569.41

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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.