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Finding the Fourth Proportional to 863,545, 1,294,677.79 and 413,837.66

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Solution

The fourth proportional to 863,545, 1,294,677.79 and 413,837.66 is: 620,449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,545 : 1,294,677.79 = 413,837.66 : x
  2. Step 2: Convert to fraction form
    863,545/1,294,677.79 = 413,837.66/x
  3. Step 3: Cross multiply
    863,545x = 1,294,677.79 × 413,837.66
  4. Step 4: Simplify right side
    863,545x = 535,786,424,998.38
  5. Step 5: Solve for x
    x = 535,786,424,998.38/863,545
  6. Step 6: Final answer
    x = 620,449.92

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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.