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Finding the Fourth Proportional to 345,092.68, 517,212.78 and 145,343.08

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Solution

The fourth proportional to 345,092.68, 517,212.78 and 145,343.08 is: 217,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,092.68 : 517,212.78 = 145,343.08 : x
  2. Step 2: Convert to fraction form
    345,092.68/517,212.78 = 145,343.08/x
  3. Step 3: Cross multiply
    345,092.68x = 517,212.78 × 145,343.08
  4. Step 4: Simplify right side
    345,092.68x = 75,173,298,460.56
  5. Step 5: Solve for x
    x = 75,173,298,460.56/345,092.68
  6. Step 6: Final answer
    x = 217,835.10

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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.