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Finding the Fourth Proportional to 505,424.83, 697,489.64 and 275,983.71

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Solution

The fourth proportional to 505,424.83, 697,489.64 and 275,983.71 is: 380,859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,424.83 : 697,489.64 = 275,983.71 : x
  2. Step 2: Convert to fraction form
    505,424.83/697,489.64 = 275,983.71/x
  3. Step 3: Cross multiply
    505,424.83x = 697,489.64 × 275,983.71
  4. Step 4: Simplify right side
    505,424.83x = 192,495,781,839.31
  5. Step 5: Solve for x
    x = 192,495,781,839.31/505,424.83
  6. Step 6: Final answer
    x = 380,859.37

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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.