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Finding the Fourth Proportional to 320,877.12, 481,077.12 and 194,486.34

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Solution

The fourth proportional to 320,877.12, 481,077.12 and 194,486.34 is: 291,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,877.12 : 481,077.12 = 194,486.34 : x
  2. Step 2: Convert to fraction form
    320,877.12/481,077.12 = 194,486.34/x
  3. Step 3: Cross multiply
    320,877.12x = 481,077.12 × 194,486.34
  4. Step 4: Simplify right side
    320,877.12x = 93,562,928,326.54
  5. Step 5: Solve for x
    x = 93,562,928,326.54/320,877.12
  6. Step 6: Final answer
    x = 291,584.92

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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.