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Finding the Fourth Proportional to 561,403.33, 773,929.94 and 399,978.12

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Solution

The fourth proportional to 561,403.33, 773,929.94 and 399,978.12 is: 551,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,403.33 : 773,929.94 = 399,978.12 : x
  2. Step 2: Convert to fraction form
    561,403.33/773,929.94 = 399,978.12/x
  3. Step 3: Cross multiply
    561,403.33x = 773,929.94 × 399,978.12
  4. Step 4: Simplify right side
    561,403.33x = 309,555,043,315.26
  5. Step 5: Solve for x
    x = 309,555,043,315.26/561,403.33
  6. Step 6: Final answer
    x = 551,395.10

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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.