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Finding the Fourth Proportional to 462,480.62, 638,225.81 and 258,540.12

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Solution

The fourth proportional to 462,480.62, 638,225.81 and 258,540.12 is: 356,786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,480.62 : 638,225.81 = 258,540.12 : x
  2. Step 2: Convert to fraction form
    462,480.62/638,225.81 = 258,540.12/x
  3. Step 3: Cross multiply
    462,480.62x = 638,225.81 × 258,540.12
  4. Step 4: Simplify right side
    462,480.62x = 165,006,976,211.80
  5. Step 5: Solve for x
    x = 165,006,976,211.80/462,480.62
  6. Step 6: Final answer
    x = 356,786.79

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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.