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Finding the Fourth Proportional to 547,382.34, 755,391.33 and 305,667.81

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Solution

The fourth proportional to 547,382.34, 755,391.33 and 305,667.81 is: 421,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,382.34 : 755,391.33 = 305,667.81 : x
  2. Step 2: Convert to fraction form
    547,382.34/755,391.33 = 305,667.81/x
  3. Step 3: Cross multiply
    547,382.34x = 755,391.33 × 305,667.81
  4. Step 4: Simplify right side
    547,382.34x = 230,898,813,534.09
  5. Step 5: Solve for x
    x = 230,898,813,534.09/547,382.34
  6. Step 6: Final answer
    x = 421,823.64

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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.