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Finding the Fourth Proportional to 451,761.72, 677,395.17 and 208,338.63

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Solution

The fourth proportional to 451,761.72, 677,395.17 and 208,338.63 is: 312,393.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,761.72 : 677,395.17 = 208,338.63 : x
  2. Step 2: Convert to fraction form
    451,761.72/677,395.17 = 208,338.63/x
  3. Step 3: Cross multiply
    451,761.72x = 677,395.17 × 208,338.63
  4. Step 4: Simplify right side
    451,761.72x = 141,127,581,686.42
  5. Step 5: Solve for x
    x = 141,127,581,686.42/451,761.72
  6. Step 6: Final answer
    x = 312,393.85

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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.