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Finding the Fourth Proportional to 398,658.36, 598,206.24 and 161,937.48

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Solution

The fourth proportional to 398,658.36, 598,206.24 and 161,937.48 is: 242,995.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,658.36 : 598,206.24 = 161,937.48 : x
  2. Step 2: Convert to fraction form
    398,658.36/598,206.24 = 161,937.48/x
  3. Step 3: Cross multiply
    398,658.36x = 598,206.24 × 161,937.48
  4. Step 4: Simplify right side
    398,658.36x = 96,872,011,025.88
  5. Step 5: Solve for x
    x = 96,872,011,025.88/398,658.36
  6. Step 6: Final answer
    x = 242,995.06

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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.