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Finding the Fourth Proportional to 375,897.78, 518,745.66 and 203,821.55

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Solution

The fourth proportional to 375,897.78, 518,745.66 and 203,821.55 is: 281,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,897.78 : 518,745.66 = 203,821.55 : x
  2. Step 2: Convert to fraction form
    375,897.78/518,745.66 = 203,821.55/x
  3. Step 3: Cross multiply
    375,897.78x = 518,745.66 × 203,821.55
  4. Step 4: Simplify right side
    375,897.78x = 105,731,541,883.25
  5. Step 5: Solve for x
    x = 105,731,541,883.25/375,897.78
  6. Step 6: Final answer
    x = 281,277.38

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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.