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Finding the Fourth Proportional to 547,284.34, 755,245.23 and 305,571.02

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Solution

The fourth proportional to 547,284.34, 755,245.23 and 305,571.02 is: 421,684.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,284.34 : 755,245.23 = 305,571.02 : x
  2. Step 2: Convert to fraction form
    547,284.34/755,245.23 = 305,571.02/x
  3. Step 3: Cross multiply
    547,284.34x = 755,245.23 × 305,571.02
  4. Step 4: Simplify right side
    547,284.34x = 230,781,055,281.24
  5. Step 5: Solve for x
    x = 230,781,055,281.24/547,284.34
  6. Step 6: Final answer
    x = 421,684.01

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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.