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Finding the Fourth Proportional to 392,664.34, 542,150.31 and 263,799.01

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Solution

The fourth proportional to 392,664.34, 542,150.31 and 263,799.01 is: 364,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,664.34 : 542,150.31 = 263,799.01 : x
  2. Step 2: Convert to fraction form
    392,664.34/542,150.31 = 263,799.01/x
  3. Step 3: Cross multiply
    392,664.34x = 542,150.31 × 263,799.01
  4. Step 4: Simplify right side
    392,664.34x = 143,018,715,049.19
  5. Step 5: Solve for x
    x = 143,018,715,049.19/392,664.34
  6. Step 6: Final answer
    x = 364,226.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.