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Finding the Fourth Proportional to 345,805.80, 518,708.52 and 109,314.48

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Solution

The fourth proportional to 345,805.80, 518,708.52 and 109,314.48 is: 163,971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,805.80 : 518,708.52 = 109,314.48 : x
  2. Step 2: Convert to fraction form
    345,805.80/518,708.52 = 109,314.48/x
  3. Step 3: Cross multiply
    345,805.80x = 518,708.52 × 109,314.48
  4. Step 4: Simplify right side
    345,805.80x = 56,702,352,135.37
  5. Step 5: Solve for x
    x = 56,702,352,135.37/345,805.80
  6. Step 6: Final answer
    x = 163,971.66

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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.