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Finding the Fourth Proportional to 547,642.71, 755,743.34 and 305,923.16

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Solution

The fourth proportional to 547,642.71, 755,743.34 and 305,923.16 is: 422,171.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,642.71 : 755,743.34 = 305,923.16 : x
  2. Step 2: Convert to fraction form
    547,642.71/755,743.34 = 305,923.16/x
  3. Step 3: Cross multiply
    547,642.71x = 755,743.34 × 305,923.16
  4. Step 4: Simplify right side
    547,642.71x = 231,199,385,413.42
  5. Step 5: Solve for x
    x = 231,199,385,413.42/547,642.71
  6. Step 6: Final answer
    x = 422,171.94

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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.