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Finding the Fourth Proportional to 547,386.36, 755,396.84 and 305,671.80

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Solution

The fourth proportional to 547,386.36, 755,396.84 and 305,671.80 is: 421,829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,386.36 : 755,396.84 = 305,671.80 : x
  2. Step 2: Convert to fraction form
    547,386.36/755,396.84 = 305,671.80/x
  3. Step 3: Cross multiply
    547,386.36x = 755,396.84 × 305,671.80
  4. Step 4: Simplify right side
    547,386.36x = 230,903,511,797.11
  5. Step 5: Solve for x
    x = 230,903,511,797.11/547,386.36
  6. Step 6: Final answer
    x = 421,829.13

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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.