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Finding the Fourth Proportional to 547,058.66, 754,910.24 and 305,356.82

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Solution

The fourth proportional to 547,058.66, 754,910.24 and 305,356.82 is: 421,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,058.66 : 754,910.24 = 305,356.82 : x
  2. Step 2: Convert to fraction form
    547,058.66/754,910.24 = 305,356.82/x
  3. Step 3: Cross multiply
    547,058.66x = 754,910.24 × 305,356.82
  4. Step 4: Simplify right side
    547,058.66x = 230,516,990,271.84
  5. Step 5: Solve for x
    x = 230,516,990,271.84/547,058.66
  6. Step 6: Final answer
    x = 421,375.27

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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.