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Finding the Fourth Proportional to 465,178.46, 642,015.69 and 283,995.42

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Solution

The fourth proportional to 465,178.46, 642,015.69 and 283,995.42 is: 391,956.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,178.46 : 642,015.69 = 283,995.42 : x
  2. Step 2: Convert to fraction form
    465,178.46/642,015.69 = 283,995.42/x
  3. Step 3: Cross multiply
    465,178.46x = 642,015.69 × 283,995.42
  4. Step 4: Simplify right side
    465,178.46x = 182,329,512,318.06
  5. Step 5: Solve for x
    x = 182,329,512,318.06/465,178.46
  6. Step 6: Final answer
    x = 391,956.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.