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Finding the Fourth Proportional to 262,798, 362,661.20 and 141,939.28

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Solution

The fourth proportional to 262,798, 362,661.20 and 141,939.28 is: 195,876.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,798 : 362,661.20 = 141,939.28 : x
  2. Step 2: Convert to fraction form
    262,798/362,661.20 = 141,939.28/x
  3. Step 3: Cross multiply
    262,798x = 362,661.20 × 141,939.28
  4. Step 4: Simplify right side
    262,798x = 51,475,869,611.94
  5. Step 5: Solve for x
    x = 51,475,869,611.94/262,798
  6. Step 6: Final answer
    x = 195,876.18

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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.