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Finding the Fourth Proportional to 543,104.30, 814,678.32 and 258,648.50

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Solution

The fourth proportional to 543,104.30, 814,678.32 and 258,648.50 is: 387,983.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,104.30 : 814,678.32 = 258,648.50 : x
  2. Step 2: Convert to fraction form
    543,104.30/814,678.32 = 258,648.50/x
  3. Step 3: Cross multiply
    543,104.30x = 814,678.32 × 258,648.50
  4. Step 4: Simplify right side
    543,104.30x = 210,715,325,450.52
  5. Step 5: Solve for x
    x = 210,715,325,450.52/543,104.30
  6. Step 6: Final answer
    x = 387,983.17

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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.