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Finding the Fourth Proportional to 409,663.62, 565,369.48 and 225,938.14

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Solution

The fourth proportional to 409,663.62, 565,369.48 and 225,938.14 is: 311,813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,663.62 : 565,369.48 = 225,938.14 : x
  2. Step 2: Convert to fraction form
    409,663.62/565,369.48 = 225,938.14/x
  3. Step 3: Cross multiply
    409,663.62x = 565,369.48 × 225,938.14
  4. Step 4: Simplify right side
    409,663.62x = 127,738,528,723.97
  5. Step 5: Solve for x
    x = 127,738,528,723.97/409,663.62
  6. Step 6: Final answer
    x = 311,813.21

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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.