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Finding the Fourth Proportional to 315,921.75, 473,882.69 and 105,559.71

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Solution

The fourth proportional to 315,921.75, 473,882.69 and 105,559.71 is: 158,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,921.75 : 473,882.69 = 105,559.71 : x
  2. Step 2: Convert to fraction form
    315,921.75/473,882.69 = 105,559.71/x
  3. Step 3: Cross multiply
    315,921.75x = 473,882.69 × 105,559.71
  4. Step 4: Simplify right side
    315,921.75x = 50,022,919,330.42
  5. Step 5: Solve for x
    x = 50,022,919,330.42/315,921.75
  6. Step 6: Final answer
    x = 158,339.59

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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.