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Finding the Fourth Proportional to 320,773.10, 480,201 and 194,029.78

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Solution

The fourth proportional to 320,773.10, 480,201 and 194,029.78 is: 290,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,773.10 : 480,201 = 194,029.78 : x
  2. Step 2: Convert to fraction form
    320,773.10/480,201 = 194,029.78/x
  3. Step 3: Cross multiply
    320,773.10x = 480,201 × 194,029.78
  4. Step 4: Simplify right side
    320,773.10x = 93,173,294,385.78
  5. Step 5: Solve for x
    x = 93,173,294,385.78/320,773.10
  6. Step 6: Final answer
    x = 290,464.80

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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.