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Finding the Fourth Proportional to 547,735.84, 755,848.47 and 305,970.28

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Solution

The fourth proportional to 547,735.84, 755,848.47 and 305,970.28 is: 422,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,735.84 : 755,848.47 = 305,970.28 : x
  2. Step 2: Convert to fraction form
    547,735.84/755,848.47 = 305,970.28/x
  3. Step 3: Cross multiply
    547,735.84x = 755,848.47 × 305,970.28
  4. Step 4: Simplify right side
    547,735.84x = 231,267,168,003.47
  5. Step 5: Solve for x
    x = 231,267,168,003.47/547,735.84
  6. Step 6: Final answer
    x = 422,223.91

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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.