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Finding the Fourth Proportional to 409,404.09, 565,212.09 and 273,667.93

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Solution

The fourth proportional to 409,404.09, 565,212.09 and 273,667.93 is: 377,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,404.09 : 565,212.09 = 273,667.93 : x
  2. Step 2: Convert to fraction form
    409,404.09/565,212.09 = 273,667.93/x
  3. Step 3: Cross multiply
    409,404.09x = 565,212.09 × 273,667.93
  4. Step 4: Simplify right side
    409,404.09x = 154,680,422,681.27
  5. Step 5: Solve for x
    x = 154,680,422,681.27/409,404.09
  6. Step 6: Final answer
    x = 377,818.46

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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.