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Finding the Fourth Proportional to 279,930.22, 420,137.96 and 146,904.46

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Solution

The fourth proportional to 279,930.22, 420,137.96 and 146,904.46 is: 220,484.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,930.22 : 420,137.96 = 146,904.46 : x
  2. Step 2: Convert to fraction form
    279,930.22/420,137.96 = 146,904.46/x
  3. Step 3: Cross multiply
    279,930.22x = 420,137.96 × 146,904.46
  4. Step 4: Simplify right side
    279,930.22x = 61,720,138,405.87
  5. Step 5: Solve for x
    x = 61,720,138,405.87/279,930.22
  6. Step 6: Final answer
    x = 220,484.02

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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.