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Finding the Fourth Proportional to 310,628.72, 465,992.29 and 100,217.45

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Solution

The fourth proportional to 310,628.72, 465,992.29 and 100,217.45 is: 150,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,628.72 : 465,992.29 = 100,217.45 : x
  2. Step 2: Convert to fraction form
    310,628.72/465,992.29 = 100,217.45/x
  3. Step 3: Cross multiply
    310,628.72x = 465,992.29 × 100,217.45
  4. Step 4: Simplify right side
    310,628.72x = 46,700,560,313.71
  5. Step 5: Solve for x
    x = 46,700,560,313.71/310,628.72
  6. Step 6: Final answer
    x = 150,342.05

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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.