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Finding the Fourth Proportional to 379,146.64, 568,282.56 and 142,338.28

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Solution

The fourth proportional to 379,146.64, 568,282.56 and 142,338.28 is: 213,343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,146.64 : 568,282.56 = 142,338.28 : x
  2. Step 2: Convert to fraction form
    379,146.64/568,282.56 = 142,338.28/x
  3. Step 3: Cross multiply
    379,146.64x = 568,282.56 × 142,338.28
  4. Step 4: Simplify right side
    379,146.64x = 80,888,362,144.40
  5. Step 5: Solve for x
    x = 80,888,362,144.40/379,146.64
  6. Step 6: Final answer
    x = 213,343.21

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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.