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Finding the Fourth Proportional to 547,897.31, 756,096.10 and 306,179.82

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Solution

The fourth proportional to 547,897.31, 756,096.10 and 306,179.82 is: 422,526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,897.31 : 756,096.10 = 306,179.82 : x
  2. Step 2: Convert to fraction form
    547,897.31/756,096.10 = 306,179.82/x
  3. Step 3: Cross multiply
    547,897.31x = 756,096.10 × 306,179.82
  4. Step 4: Simplify right side
    547,897.31x = 231,501,370,884.03
  5. Step 5: Solve for x
    x = 231,501,370,884.03/547,897.31
  6. Step 6: Final answer
    x = 422,526.93

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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.