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Finding the Fourth Proportional to 426,894.49, 589,237.50 and 281,806.48

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Solution

The fourth proportional to 426,894.49, 589,237.50 and 281,806.48 is: 388,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,894.49 : 589,237.50 = 281,806.48 : x
  2. Step 2: Convert to fraction form
    426,894.49/589,237.50 = 281,806.48/x
  3. Step 3: Cross multiply
    426,894.49x = 589,237.50 × 281,806.48
  4. Step 4: Simplify right side
    426,894.49x = 166,050,945,759
  5. Step 5: Solve for x
    x = 166,050,945,759/426,894.49
  6. Step 6: Final answer
    x = 388,974.21

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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.