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Finding the Fourth Proportional to 345,447.53, 518,462.43 and 145,911.12

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Solution

The fourth proportional to 345,447.53, 518,462.43 and 145,911.12 is: 218,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,447.53 : 518,462.43 = 145,911.12 : x
  2. Step 2: Convert to fraction form
    345,447.53/518,462.43 = 145,911.12/x
  3. Step 3: Cross multiply
    345,447.53x = 518,462.43 × 145,911.12
  4. Step 4: Simplify right side
    345,447.53x = 75,649,431,347.82
  5. Step 5: Solve for x
    x = 75,649,431,347.82/345,447.53
  6. Step 6: Final answer
    x = 218,989.64

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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.