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Finding the Fourth Proportional to 262,605.80, 393,908.70 and 258,231.80

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Solution

The fourth proportional to 262,605.80, 393,908.70 and 258,231.80 is: 387,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,605.80 : 393,908.70 = 258,231.80 : x
  2. Step 2: Convert to fraction form
    262,605.80/393,908.70 = 258,231.80/x
  3. Step 3: Cross multiply
    262,605.80x = 393,908.70 × 258,231.80
  4. Step 4: Simplify right side
    262,605.80x = 101,719,752,636.66
  5. Step 5: Solve for x
    x = 101,719,752,636.66/262,605.80
  6. Step 6: Final answer
    x = 387,347.70

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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.