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Finding the Fourth Proportional to 398,384.88, 597,745.32 and 161,666.16

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Solution

The fourth proportional to 398,384.88, 597,745.32 and 161,666.16 is: 242,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,384.88 : 597,745.32 = 161,666.16 : x
  2. Step 2: Convert to fraction form
    398,384.88/597,745.32 = 161,666.16/x
  3. Step 3: Cross multiply
    398,384.88x = 597,745.32 × 161,666.16
  4. Step 4: Simplify right side
    398,384.88x = 96,635,190,542.37
  5. Step 5: Solve for x
    x = 96,635,190,542.37/398,384.88
  6. Step 6: Final answer
    x = 242,567.42

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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.