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Finding the Fourth Proportional to 497,388.09, 745,458.21 and 212,744.64

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Solution

The fourth proportional to 497,388.09, 745,458.21 and 212,744.64 is: 318,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,388.09 : 745,458.21 = 212,744.64 : x
  2. Step 2: Convert to fraction form
    497,388.09/745,458.21 = 212,744.64/x
  3. Step 3: Cross multiply
    497,388.09x = 745,458.21 × 212,744.64
  4. Step 4: Simplify right side
    497,388.09x = 158,592,238,521.49
  5. Step 5: Solve for x
    x = 158,592,238,521.49/497,388.09
  6. Step 6: Final answer
    x = 318,850.09

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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.