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Finding the Fourth Proportional to 354,428.31, 489,123.30 and 201,472.90

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Solution

The fourth proportional to 354,428.31, 489,123.30 and 201,472.90 is: 278,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,428.31 : 489,123.30 = 201,472.90 : x
  2. Step 2: Convert to fraction form
    354,428.31/489,123.30 = 201,472.90/x
  3. Step 3: Cross multiply
    354,428.31x = 489,123.30 × 201,472.90
  4. Step 4: Simplify right side
    354,428.31x = 98,545,089,708.57
  5. Step 5: Solve for x
    x = 98,545,089,708.57/354,428.31
  6. Step 6: Final answer
    x = 278,039.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.