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Finding the Fourth Proportional to 255,506.87, 382,969.67 and 155,446.49

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Solution

The fourth proportional to 255,506.87, 382,969.67 and 155,446.49 is: 232,992.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,506.87 : 382,969.67 = 155,446.49 : x
  2. Step 2: Convert to fraction form
    255,506.87/382,969.67 = 155,446.49/x
  3. Step 3: Cross multiply
    255,506.87x = 382,969.67 × 155,446.49
  4. Step 4: Simplify right side
    255,506.87x = 59,531,292,032.54
  5. Step 5: Solve for x
    x = 59,531,292,032.54/255,506.87
  6. Step 6: Final answer
    x = 232,992.92

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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.