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Finding the Fourth Proportional to 819,840, 1,131,379.20 and 462,144

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Solution

The fourth proportional to 819,840, 1,131,379.20 and 462,144 is: 637,758.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,840 : 1,131,379.20 = 462,144 : x
  2. Step 2: Convert to fraction form
    819,840/1,131,379.20 = 462,144/x
  3. Step 3: Cross multiply
    819,840x = 1,131,379.20 × 462,144
  4. Step 4: Simplify right side
    819,840x = 522,860,109,004.80
  5. Step 5: Solve for x
    x = 522,860,109,004.80/819,840
  6. Step 6: Final answer
    x = 637,758.72

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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.