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Finding the Fourth Proportional to 319,920, 441,489.60 and 185,792.64

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Solution

The fourth proportional to 319,920, 441,489.60 and 185,792.64 is: 256,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,920 : 441,489.60 = 185,792.64 : x
  2. Step 2: Convert to fraction form
    319,920/441,489.60 = 185,792.64/x
  3. Step 3: Cross multiply
    319,920x = 441,489.60 × 185,792.64
  4. Step 4: Simplify right side
    319,920x = 82,025,518,316.54
  5. Step 5: Solve for x
    x = 82,025,518,316.54/319,920
  6. Step 6: Final answer
    x = 256,393.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.