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Finding the Fourth Proportional to 301,031.84, 451,623.02 and 212,458.34

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Solution

The fourth proportional to 301,031.84, 451,623.02 and 212,458.34 is: 318,740.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,031.84 : 451,623.02 = 212,458.34 : x
  2. Step 2: Convert to fraction form
    301,031.84/451,623.02 = 212,458.34/x
  3. Step 3: Cross multiply
    301,031.84x = 451,623.02 × 212,458.34
  4. Step 4: Simplify right side
    301,031.84x = 95,951,077,201.75
  5. Step 5: Solve for x
    x = 95,951,077,201.75/301,031.84
  6. Step 6: Final answer
    x = 318,740.62

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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.