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Finding the Fourth Proportional to 282,976.32, 424,361.76 and 154,987.68

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Solution

The fourth proportional to 282,976.32, 424,361.76 and 154,987.68 is: 232,425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,976.32 : 424,361.76 = 154,987.68 : x
  2. Step 2: Convert to fraction form
    282,976.32/424,361.76 = 154,987.68/x
  3. Step 3: Cross multiply
    282,976.32x = 424,361.76 × 154,987.68
  4. Step 4: Simplify right side
    282,976.32x = 65,770,844,663.12
  5. Step 5: Solve for x
    x = 65,770,844,663.12/282,976.32
  6. Step 6: Final answer
    x = 232,425.26

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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.