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Finding the Fourth Proportional to 521,388.90, 782,636.40 and 461,804.22

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Solution

The fourth proportional to 521,388.90, 782,636.40 and 461,804.22 is: 693,196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,388.90 : 782,636.40 = 461,804.22 : x
  2. Step 2: Convert to fraction form
    521,388.90/782,636.40 = 461,804.22/x
  3. Step 3: Cross multiply
    521,388.90x = 782,636.40 × 461,804.22
  4. Step 4: Simplify right side
    521,388.90x = 361,424,792,245.61
  5. Step 5: Solve for x
    x = 361,424,792,245.61/521,388.90
  6. Step 6: Final answer
    x = 693,196.18

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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.