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Finding the Fourth Proportional to 505,564.24, 697,679.76 and 279,209.92

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Solution

The fourth proportional to 505,564.24, 697,679.76 and 279,209.92 is: 385,310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,564.24 : 697,679.76 = 279,209.92 : x
  2. Step 2: Convert to fraction form
    505,564.24/697,679.76 = 279,209.92/x
  3. Step 3: Cross multiply
    505,564.24x = 697,679.76 × 279,209.92
  4. Step 4: Simplify right side
    505,564.24x = 194,799,109,975.22
  5. Step 5: Solve for x
    x = 194,799,109,975.22/505,564.24
  6. Step 6: Final answer
    x = 385,310.30

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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.