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Finding the Fourth Proportional to 819,796, 1,131,318.48 and 442,964

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Solution

The fourth proportional to 819,796, 1,131,318.48 and 442,964 is: 611,290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,796 : 1,131,318.48 = 442,964 : x
  2. Step 2: Convert to fraction form
    819,796/1,131,318.48 = 442,964/x
  3. Step 3: Cross multiply
    819,796x = 1,131,318.48 × 442,964
  4. Step 4: Simplify right side
    819,796x = 501,133,359,174.72
  5. Step 5: Solve for x
    x = 501,133,359,174.72/819,796
  6. Step 6: Final answer
    x = 611,290.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.