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Finding the Fourth Proportional to 505,217.25, 697,199.87 and 278,862.81

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Solution

The fourth proportional to 505,217.25, 697,199.87 and 278,862.81 is: 384,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,217.25 : 697,199.87 = 278,862.81 : x
  2. Step 2: Convert to fraction form
    505,217.25/697,199.87 = 278,862.81/x
  3. Step 3: Cross multiply
    505,217.25x = 697,199.87 × 278,862.81
  4. Step 4: Simplify right side
    505,217.25x = 194,423,114,879.84
  5. Step 5: Solve for x
    x = 194,423,114,879.84/505,217.25
  6. Step 6: Final answer
    x = 384,830.71

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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.