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Finding the Fourth Proportional to 451,911.92, 677,041.68 and 211,584.92

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Solution

The fourth proportional to 451,911.92, 677,041.68 and 211,584.92 is: 316,990.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,911.92 : 677,041.68 = 211,584.92 : x
  2. Step 2: Convert to fraction form
    451,911.92/677,041.68 = 211,584.92/x
  3. Step 3: Cross multiply
    451,911.92x = 677,041.68 × 211,584.92
  4. Step 4: Simplify right side
    451,911.92x = 143,251,809,699.47
  5. Step 5: Solve for x
    x = 143,251,809,699.47/451,911.92
  6. Step 6: Final answer
    x = 316,990.55

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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.