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Finding the Fourth Proportional to 353,052, 529,694.64 and 142,575.12

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Solution

The fourth proportional to 353,052, 529,694.64 and 142,575.12 is: 213,909.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,052 : 529,694.64 = 142,575.12 : x
  2. Step 2: Convert to fraction form
    353,052/529,694.64 = 142,575.12/x
  3. Step 3: Cross multiply
    353,052x = 529,694.64 × 142,575.12
  4. Step 4: Simplify right side
    353,052x = 75,521,276,861.36
  5. Step 5: Solve for x
    x = 75,521,276,861.36/353,052
  6. Step 6: Final answer
    x = 213,909.78

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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.