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Finding the Fourth Proportional to 543,695, 750,299.12 and 305,231

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Solution

The fourth proportional to 543,695, 750,299.12 and 305,231 is: 421,218.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,695 : 750,299.12 = 305,231 : x
  2. Step 2: Convert to fraction form
    543,695/750,299.12 = 305,231/x
  3. Step 3: Cross multiply
    543,695x = 750,299.12 × 305,231
  4. Step 4: Simplify right side
    543,695x = 229,014,550,696.72
  5. Step 5: Solve for x
    x = 229,014,550,696.72/543,695
  6. Step 6: Final answer
    x = 421,218.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.