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Finding the Fourth Proportional to 299,686.40, 449,529.60 and 142,222.40

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Solution

The fourth proportional to 299,686.40, 449,529.60 and 142,222.40 is: 213,333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,686.40 : 449,529.60 = 142,222.40 : x
  2. Step 2: Convert to fraction form
    299,686.40/449,529.60 = 142,222.40/x
  3. Step 3: Cross multiply
    299,686.40x = 449,529.60 × 142,222.40
  4. Step 4: Simplify right side
    299,686.40x = 63,933,178,583.04
  5. Step 5: Solve for x
    x = 63,933,178,583.04/299,686.40
  6. Step 6: Final answer
    x = 213,333.60

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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.