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Finding the Fourth Proportional to 315,921.28, 473,906.40 and 105,559.96

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Solution

The fourth proportional to 315,921.28, 473,906.40 and 105,559.96 is: 158,348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,921.28 : 473,906.40 = 105,559.96 : x
  2. Step 2: Convert to fraction form
    315,921.28/473,906.40 = 105,559.96/x
  3. Step 3: Cross multiply
    315,921.28x = 473,906.40 × 105,559.96
  4. Step 4: Simplify right side
    315,921.28x = 50,025,540,627.74
  5. Step 5: Solve for x
    x = 50,025,540,627.74/315,921.28
  6. Step 6: Final answer
    x = 158,348.12

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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.