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Finding the Fourth Proportional to 340,904.84, 511,309.82 and 180,910.76

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Solution

The fourth proportional to 340,904.84, 511,309.82 and 180,910.76 is: 271,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,904.84 : 511,309.82 = 180,910.76 : x
  2. Step 2: Convert to fraction form
    340,904.84/511,309.82 = 180,910.76/x
  3. Step 3: Cross multiply
    340,904.84x = 511,309.82 × 180,910.76
  4. Step 4: Simplify right side
    340,904.84x = 92,501,448,131.66
  5. Step 5: Solve for x
    x = 92,501,448,131.66/340,904.84
  6. Step 6: Final answer
    x = 271,340.96

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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.