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Finding the Fourth Proportional to 545,081.87, 817,677.32 and 208,405.78

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Solution

The fourth proportional to 545,081.87, 817,677.32 and 208,405.78 is: 312,629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,081.87 : 817,677.32 = 208,405.78 : x
  2. Step 2: Convert to fraction form
    545,081.87/817,677.32 = 208,405.78/x
  3. Step 3: Cross multiply
    545,081.87x = 817,677.32 × 208,405.78
  4. Step 4: Simplify right side
    545,081.87x = 170,408,676,576.69
  5. Step 5: Solve for x
    x = 170,408,676,576.69/545,081.87
  6. Step 6: Final answer
    x = 312,629.51

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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.