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Finding the Fourth Proportional to 547,386.82, 821,208.26 and 187,561.54

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Solution

The fourth proportional to 547,386.82, 821,208.26 and 187,561.54 is: 281,386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,386.82 : 821,208.26 = 187,561.54 : x
  2. Step 2: Convert to fraction form
    547,386.82/821,208.26 = 187,561.54/x
  3. Step 3: Cross multiply
    547,386.82x = 821,208.26 × 187,561.54
  4. Step 4: Simplify right side
    547,386.82x = 154,027,085,906.32
  5. Step 5: Solve for x
    x = 154,027,085,906.32/547,386.82
  6. Step 6: Final answer
    x = 281,386.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.