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Finding the Fourth Proportional to 311,476.16, 467,253.32 and 121,912.06

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Solution

The fourth proportional to 311,476.16, 467,253.32 and 121,912.06 is: 182,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,476.16 : 467,253.32 = 121,912.06 : x
  2. Step 2: Convert to fraction form
    311,476.16/467,253.32 = 121,912.06/x
  3. Step 3: Cross multiply
    311,476.16x = 467,253.32 × 121,912.06
  4. Step 4: Simplify right side
    311,476.16x = 56,963,814,783.04
  5. Step 5: Solve for x
    x = 56,963,814,783.04/311,476.16
  6. Step 6: Final answer
    x = 182,883.39

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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.