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Finding the Fourth Proportional to 505,468.36, 697,537.02 and 279,109

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Solution

The fourth proportional to 505,468.36, 697,537.02 and 279,109 is: 385,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,468.36 : 697,537.02 = 279,109 : x
  2. Step 2: Convert to fraction form
    505,468.36/697,537.02 = 279,109/x
  3. Step 3: Cross multiply
    505,468.36x = 697,537.02 × 279,109
  4. Step 4: Simplify right side
    505,468.36x = 194,688,860,115.18
  5. Step 5: Solve for x
    x = 194,688,860,115.18/505,468.36
  6. Step 6: Final answer
    x = 385,165.28

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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.