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Finding the Fourth Proportional to 409,400.09, 565,206.56 and 273,663.93

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Solution

The fourth proportional to 409,400.09, 565,206.56 and 273,663.93 is: 377,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,400.09 : 565,206.56 = 273,663.93 : x
  2. Step 2: Convert to fraction form
    409,400.09/565,206.56 = 273,663.93/x
  3. Step 3: Cross multiply
    409,400.09x = 565,206.56 × 273,663.93
  4. Step 4: Simplify right side
    409,400.09x = 154,676,647,103.06
  5. Step 5: Solve for x
    x = 154,676,647,103.06/409,400.09
  6. Step 6: Final answer
    x = 377,812.93

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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.