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Finding the Fourth Proportional to 321,895.80, 482,853.81 and 153,434.43

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Solution

The fourth proportional to 321,895.80, 482,853.81 and 153,434.43 is: 230,156.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,895.80 : 482,853.81 = 153,434.43 : x
  2. Step 2: Convert to fraction form
    321,895.80/482,853.81 = 153,434.43/x
  3. Step 3: Cross multiply
    321,895.80x = 482,853.81 × 153,434.43
  4. Step 4: Simplify right side
    321,895.80x = 74,086,399,110.68
  5. Step 5: Solve for x
    x = 74,086,399,110.68/321,895.80
  6. Step 6: Final answer
    x = 230,156.46

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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.