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Finding the Fourth Proportional to 345,408.30, 518,182.32 and 145,729.14

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Solution

The fourth proportional to 345,408.30, 518,182.32 and 145,729.14 is: 218,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,408.30 : 518,182.32 = 145,729.14 : x
  2. Step 2: Convert to fraction form
    345,408.30/518,182.32 = 145,729.14/x
  3. Step 3: Cross multiply
    345,408.30x = 518,182.32 × 145,729.14
  4. Step 4: Simplify right side
    345,408.30x = 75,514,263,856.80
  5. Step 5: Solve for x
    x = 75,514,263,856.80/345,408.30
  6. Step 6: Final answer
    x = 218,623.19

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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.