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Finding the Fourth Proportional to 356,043.49, 533,873.66 and 142,704.34

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Solution

The fourth proportional to 356,043.49, 533,873.66 and 142,704.34 is: 213,979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,043.49 : 533,873.66 = 142,704.34 : x
  2. Step 2: Convert to fraction form
    356,043.49/533,873.66 = 142,704.34/x
  3. Step 3: Cross multiply
    356,043.49x = 533,873.66 × 142,704.34
  4. Step 4: Simplify right side
    356,043.49x = 76,186,086,245.48
  5. Step 5: Solve for x
    x = 76,186,086,245.48/356,043.49
  6. Step 6: Final answer
    x = 213,979.72

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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.