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Finding the Fourth Proportional to 558,831, 838,266.90 and 199,028.35

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Solution

The fourth proportional to 558,831, 838,266.90 and 199,028.35 is: 298,549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,831 : 838,266.90 = 199,028.35 : x
  2. Step 2: Convert to fraction form
    558,831/838,266.90 = 199,028.35/x
  3. Step 3: Cross multiply
    558,831x = 838,266.90 × 199,028.35
  4. Step 4: Simplify right side
    558,831x = 166,838,877,966.62
  5. Step 5: Solve for x
    x = 166,838,877,966.62/558,831
  6. Step 6: Final answer
    x = 298,549.79

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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.