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Finding the Fourth Proportional to 281,648.32, 388,672.11 and 152,583.82

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Solution

The fourth proportional to 281,648.32, 388,672.11 and 152,583.82 is: 210,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,648.32 : 388,672.11 = 152,583.82 : x
  2. Step 2: Convert to fraction form
    281,648.32/388,672.11 = 152,583.82/x
  3. Step 3: Cross multiply
    281,648.32x = 388,672.11 × 152,583.82
  4. Step 4: Simplify right side
    281,648.32x = 59,305,074,299.58
  5. Step 5: Solve for x
    x = 59,305,074,299.58/281,648.32
  6. Step 6: Final answer
    x = 210,564.28

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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.