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Finding the Fourth Proportional to 497,906.79, 746,860.65 and 213,412.73

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Solution

The fourth proportional to 497,906.79, 746,860.65 and 213,412.73 is: 320,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,906.79 : 746,860.65 = 213,412.73 : x
  2. Step 2: Convert to fraction form
    497,906.79/746,860.65 = 213,412.73/x
  3. Step 3: Cross multiply
    497,906.79x = 746,860.65 × 213,412.73
  4. Step 4: Simplify right side
    497,906.79x = 159,389,566,511.77
  5. Step 5: Solve for x
    x = 159,389,566,511.77/497,906.79
  6. Step 6: Final answer
    x = 320,119.29

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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.