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Finding the Fourth Proportional to 547,040.88, 754,906.50 and 305,319.06

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Solution

The fourth proportional to 547,040.88, 754,906.50 and 305,319.06 is: 421,334.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,040.88 : 754,906.50 = 305,319.06 : x
  2. Step 2: Convert to fraction form
    547,040.88/754,906.50 = 305,319.06/x
  3. Step 3: Cross multiply
    547,040.88x = 754,906.50 × 305,319.06
  4. Step 4: Simplify right side
    547,040.88x = 230,487,342,967.89
  5. Step 5: Solve for x
    x = 230,487,342,967.89/547,040.88
  6. Step 6: Final answer
    x = 421,334.77

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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.