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Finding the Fourth Proportional to 320,086.13, 479,969.21 and 106,779.78

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Solution

The fourth proportional to 320,086.13, 479,969.21 and 106,779.78 is: 160,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,086.13 : 479,969.21 = 106,779.78 : x
  2. Step 2: Convert to fraction form
    320,086.13/479,969.21 = 106,779.78/x
  3. Step 3: Cross multiply
    320,086.13x = 479,969.21 × 106,779.78
  4. Step 4: Simplify right side
    320,086.13x = 51,251,006,116.67
  5. Step 5: Solve for x
    x = 51,251,006,116.67/320,086.13
  6. Step 6: Final answer
    x = 160,116.30

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1.5x scale

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.