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Finding the Fourth Proportional to 500,241.16, 690,398.50 and 285,331.88

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Solution

The fourth proportional to 500,241.16, 690,398.50 and 285,331.88 is: 393,795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,241.16 : 690,398.50 = 285,331.88 : x
  2. Step 2: Convert to fraction form
    500,241.16/690,398.50 = 285,331.88/x
  3. Step 3: Cross multiply
    500,241.16x = 690,398.50 × 285,331.88
  4. Step 4: Simplify right side
    500,241.16x = 196,992,701,954.18
  5. Step 5: Solve for x
    x = 196,992,701,954.18/500,241.16
  6. Step 6: Final answer
    x = 393,795.47

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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.