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Finding the Fourth Proportional to 505,719.42, 697,241.61 and 360,690.57

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Solution

The fourth proportional to 505,719.42, 697,241.61 and 360,690.57 is: 497,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,719.42 : 697,241.61 = 360,690.57 : x
  2. Step 2: Convert to fraction form
    505,719.42/697,241.61 = 360,690.57/x
  3. Step 3: Cross multiply
    505,719.42x = 697,241.61 × 360,690.57
  4. Step 4: Simplify right side
    505,719.42x = 251,488,473,738.62
  5. Step 5: Solve for x
    x = 251,488,473,738.62/505,719.42
  6. Step 6: Final answer
    x = 497,288.54

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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.