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Finding the Fourth Proportional to 392,054.34, 587,815.38 and 199,455.42

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Solution

The fourth proportional to 392,054.34, 587,815.38 and 199,455.42 is: 299,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,054.34 : 587,815.38 = 199,455.42 : x
  2. Step 2: Convert to fraction form
    392,054.34/587,815.38 = 199,455.42/x
  3. Step 3: Cross multiply
    392,054.34x = 587,815.38 × 199,455.42
  4. Step 4: Simplify right side
    392,054.34x = 117,242,963,500.36
  5. Step 5: Solve for x
    x = 117,242,963,500.36/392,054.34
  6. Step 6: Final answer
    x = 299,047.74

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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.