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Finding the Fourth Proportional to 310,896.96, 465,995.52 and 123,689.76

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Solution

The fourth proportional to 310,896.96, 465,995.52 and 123,689.76 is: 185,395.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,896.96 : 465,995.52 = 123,689.76 : x
  2. Step 2: Convert to fraction form
    310,896.96/465,995.52 = 123,689.76/x
  3. Step 3: Cross multiply
    310,896.96x = 465,995.52 × 123,689.76
  4. Step 4: Simplify right side
    310,896.96x = 57,638,874,029.88
  5. Step 5: Solve for x
    x = 57,638,874,029.88/310,896.96
  6. Step 6: Final answer
    x = 185,395.42

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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.