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Finding the Fourth Proportional to 319,361.52, 478,910.48 and 109,016.40

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Solution

The fourth proportional to 319,361.52, 478,910.48 and 109,016.40 is: 163,479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,361.52 : 478,910.48 = 109,016.40 : x
  2. Step 2: Convert to fraction form
    319,361.52/478,910.48 = 109,016.40/x
  3. Step 3: Cross multiply
    319,361.52x = 478,910.48 × 109,016.40
  4. Step 4: Simplify right side
    319,361.52x = 52,209,096,451.87
  5. Step 5: Solve for x
    x = 52,209,096,451.87/319,361.52
  6. Step 6: Final answer
    x = 163,479.61

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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.