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Finding the Fourth Proportional to 505,468.86, 697,537.71 and 279,109.50

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Solution

The fourth proportional to 505,468.86, 697,537.71 and 279,109.50 is: 385,165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,468.86 : 697,537.71 = 279,109.50 : x
  2. Step 2: Convert to fraction form
    505,468.86/697,537.71 = 279,109.50/x
  3. Step 3: Cross multiply
    505,468.86x = 697,537.71 × 279,109.50
  4. Step 4: Simplify right side
    505,468.86x = 194,689,401,469.25
  5. Step 5: Solve for x
    x = 194,689,401,469.25/505,468.86
  6. Step 6: Final answer
    x = 385,165.97

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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.