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Finding the Fourth Proportional to 281,807.93, 388,880.87 and 159,297.66

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Solution

The fourth proportional to 281,807.93, 388,880.87 and 159,297.66 is: 219,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,807.93 : 388,880.87 = 159,297.66 : x
  2. Step 2: Convert to fraction form
    281,807.93/388,880.87 = 159,297.66/x
  3. Step 3: Cross multiply
    281,807.93x = 388,880.87 × 159,297.66
  4. Step 4: Simplify right side
    281,807.93x = 61,947,811,813.28
  5. Step 5: Solve for x
    x = 61,947,811,813.28/281,807.93
  6. Step 6: Final answer
    x = 219,822.81

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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.