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Finding the Fourth Proportional to 311,594.72, 467,204.88 and 121,829

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Solution

The fourth proportional to 311,594.72, 467,204.88 and 121,829 is: 182,670.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,594.72 : 467,204.88 = 121,829 : x
  2. Step 2: Convert to fraction form
    311,594.72/467,204.88 = 121,829/x
  3. Step 3: Cross multiply
    311,594.72x = 467,204.88 × 121,829
  4. Step 4: Simplify right side
    311,594.72x = 56,919,103,325.52
  5. Step 5: Solve for x
    x = 56,919,103,325.52/311,594.72
  6. Step 6: Final answer
    x = 182,670.31

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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.