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Finding the Fourth Proportional to 542,680, 814,021.44 and 168,703.36

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Solution

The fourth proportional to 542,680, 814,021.44 and 168,703.36 is: 253,055.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,680 : 814,021.44 = 168,703.36 : x
  2. Step 2: Convert to fraction form
    542,680/814,021.44 = 168,703.36/x
  3. Step 3: Cross multiply
    542,680x = 814,021.44 × 168,703.36
  4. Step 4: Simplify right side
    542,680x = 137,328,152,040.04
  5. Step 5: Solve for x
    x = 137,328,152,040.04/542,680
  6. Step 6: Final answer
    x = 253,055.49

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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.