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Finding the Fourth Proportional to 392,980.16, 588,976.80 and 168,076

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Solution

The fourth proportional to 392,980.16, 588,976.80 and 168,076 is: 251,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,980.16 : 588,976.80 = 168,076 : x
  2. Step 2: Convert to fraction form
    392,980.16/588,976.80 = 168,076/x
  3. Step 3: Cross multiply
    392,980.16x = 588,976.80 × 168,076
  4. Step 4: Simplify right side
    392,980.16x = 98,992,864,636.80
  5. Step 5: Solve for x
    x = 98,992,864,636.80/392,980.16
  6. Step 6: Final answer
    x = 251,902.96

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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.