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Finding the Fourth Proportional to 542,993.40, 814,486.05 and 163,913.40

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Solution

The fourth proportional to 542,993.40, 814,486.05 and 163,913.40 is: 245,868.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,993.40 : 814,486.05 = 163,913.40 : x
  2. Step 2: Convert to fraction form
    542,993.40/814,486.05 = 163,913.40/x
  3. Step 3: Cross multiply
    542,993.40x = 814,486.05 × 163,913.40
  4. Step 4: Simplify right side
    542,993.40x = 133,505,177,708.07
  5. Step 5: Solve for x
    x = 133,505,177,708.07/542,993.40
  6. Step 6: Final answer
    x = 245,868.88

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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.