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Finding the Fourth Proportional to 497,090.25, 685,942.43 and 279,281.88

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Solution

The fourth proportional to 497,090.25, 685,942.43 and 279,281.88 is: 385,385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,090.25 : 685,942.43 = 279,281.88 : x
  2. Step 2: Convert to fraction form
    497,090.25/685,942.43 = 279,281.88/x
  3. Step 3: Cross multiply
    497,090.25x = 685,942.43 × 279,281.88
  4. Step 4: Simplify right side
    497,090.25x = 191,571,290,025.76
  5. Step 5: Solve for x
    x = 191,571,290,025.76/497,090.25
  6. Step 6: Final answer
    x = 385,385.33

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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.