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Finding the Fourth Proportional to 320,016.76, 479,864.42 and 106,709.16

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Solution

The fourth proportional to 320,016.76, 479,864.42 and 106,709.16 is: 160,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,016.76 : 479,864.42 = 106,709.16 : x
  2. Step 2: Convert to fraction form
    320,016.76/479,864.42 = 106,709.16/x
  3. Step 3: Cross multiply
    320,016.76x = 479,864.42 × 106,709.16
  4. Step 4: Simplify right side
    320,016.76x = 51,205,930,838.19
  5. Step 5: Solve for x
    x = 51,205,930,838.19/320,016.76
  6. Step 6: Final answer
    x = 160,010.15

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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.