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Finding the Fourth Proportional to 542,847.40, 814,927.20 and 538,910.80

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Solution

The fourth proportional to 542,847.40, 814,927.20 and 538,910.80 is: 809,017.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,847.40 : 814,927.20 = 538,910.80 : x
  2. Step 2: Convert to fraction form
    542,847.40/814,927.20 = 538,910.80/x
  3. Step 3: Cross multiply
    542,847.40x = 814,927.20 × 538,910.80
  4. Step 4: Simplify right side
    542,847.40x = 439,173,069,293.76
  5. Step 5: Solve for x
    x = 439,173,069,293.76/542,847.40
  6. Step 6: Final answer
    x = 809,017.54

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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.