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Finding the Fourth Proportional to 282,433.76, 389,761.28 and 155,112

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Solution

The fourth proportional to 282,433.76, 389,761.28 and 155,112 is: 214,056.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,433.76 : 389,761.28 = 155,112 : x
  2. Step 2: Convert to fraction form
    282,433.76/389,761.28 = 155,112/x
  3. Step 3: Cross multiply
    282,433.76x = 389,761.28 × 155,112
  4. Step 4: Simplify right side
    282,433.76x = 60,456,651,663.36
  5. Step 5: Solve for x
    x = 60,456,651,663.36/282,433.76
  6. Step 6: Final answer
    x = 214,056.04

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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.