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Finding the Fourth Proportional to 398,013.63, 597,019.10 and 161,355.75

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Solution

The fourth proportional to 398,013.63, 597,019.10 and 161,355.75 is: 242,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,013.63 : 597,019.10 = 161,355.75 : x
  2. Step 2: Convert to fraction form
    398,013.63/597,019.10 = 161,355.75/x
  3. Step 3: Cross multiply
    398,013.63x = 597,019.10 × 161,355.75
  4. Step 4: Simplify right side
    398,013.63x = 96,332,463,838.05
  5. Step 5: Solve for x
    x = 96,332,463,838.05/398,013.63
  6. Step 6: Final answer
    x = 242,033.08

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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.