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Finding the Fourth Proportional to 398,767.80, 597,635 and 161,981.32

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Solution

The fourth proportional to 398,767.80, 597,635 and 161,981.32 is: 242,762.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,767.80 : 597,635 = 161,981.32 : x
  2. Step 2: Convert to fraction form
    398,767.80/597,635 = 161,981.32/x
  3. Step 3: Cross multiply
    398,767.80x = 597,635 × 161,981.32
  4. Step 4: Simplify right side
    398,767.80x = 96,805,706,178.20
  5. Step 5: Solve for x
    x = 96,805,706,178.20/398,767.80
  6. Step 6: Final answer
    x = 242,762.09

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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.