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Finding the Fourth Proportional to 307,729.17, 424,891.20 and 198,897.89

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Solution

The fourth proportional to 307,729.17, 424,891.20 and 198,897.89 is: 274,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,729.17 : 424,891.20 = 198,897.89 : x
  2. Step 2: Convert to fraction form
    307,729.17/424,891.20 = 198,897.89/x
  3. Step 3: Cross multiply
    307,729.17x = 424,891.20 × 198,897.89
  4. Step 4: Simplify right side
    307,729.17x = 84,509,961,035.11
  5. Step 5: Solve for x
    x = 84,509,961,035.11/307,729.17
  6. Step 6: Final answer
    x = 274,624.47

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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.