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Finding the Fourth Proportional to 505,497, 697,585.86 and 326,649

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Solution

The fourth proportional to 505,497, 697,585.86 and 326,649 is: 450,775.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,497 : 697,585.86 = 326,649 : x
  2. Step 2: Convert to fraction form
    505,497/697,585.86 = 326,649/x
  3. Step 3: Cross multiply
    505,497x = 697,585.86 × 326,649
  4. Step 4: Simplify right side
    505,497x = 227,865,723,583.14
  5. Step 5: Solve for x
    x = 227,865,723,583.14/505,497
  6. Step 6: Final answer
    x = 450,775.62

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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.