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Finding the Fourth Proportional to 345,690.30, 517,729.74 and 333,717.42

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Solution

The fourth proportional to 345,690.30, 517,729.74 and 333,717.42 is: 499,798.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,690.30 : 517,729.74 = 333,717.42 : x
  2. Step 2: Convert to fraction form
    345,690.30/517,729.74 = 333,717.42/x
  3. Step 3: Cross multiply
    345,690.30x = 517,729.74 × 333,717.42
  4. Step 4: Simplify right side
    345,690.30x = 172,775,433,090.07
  5. Step 5: Solve for x
    x = 172,775,433,090.07/345,690.30
  6. Step 6: Final answer
    x = 499,798.33

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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.