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Finding the Fourth Proportional to 465,178.71, 642,016.03 and 283,995.66

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Solution

The fourth proportional to 465,178.71, 642,016.03 and 283,995.66 is: 391,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,178.71 : 642,016.03 = 283,995.66 : x
  2. Step 2: Convert to fraction form
    465,178.71/642,016.03 = 283,995.66/x
  3. Step 3: Cross multiply
    465,178.71x = 642,016.03 × 283,995.66
  4. Step 4: Simplify right side
    465,178.71x = 182,329,766,170.43
  5. Step 5: Solve for x
    x = 182,329,766,170.43/465,178.71
  6. Step 6: Final answer
    x = 391,956.39

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1.5x scale

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.