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Finding the Fourth Proportional to 505,419.62, 697,468.14 and 275,983.46

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Solution

The fourth proportional to 505,419.62, 697,468.14 and 275,983.46 is: 380,851.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,419.62 : 697,468.14 = 275,983.46 : x
  2. Step 2: Convert to fraction form
    505,419.62/697,468.14 = 275,983.46/x
  3. Step 3: Cross multiply
    505,419.62x = 697,468.14 × 275,983.46
  4. Step 4: Simplify right side
    505,419.62x = 192,489,670,516.96
  5. Step 5: Solve for x
    x = 192,489,670,516.96/505,419.62
  6. Step 6: Final answer
    x = 380,851.20

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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.