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Finding the Fourth Proportional to 377,083.78, 520,385.88 and 205,013.33

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Solution

The fourth proportional to 377,083.78, 520,385.88 and 205,013.33 is: 282,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,083.78 : 520,385.88 = 205,013.33 : x
  2. Step 2: Convert to fraction form
    377,083.78/520,385.88 = 205,013.33/x
  3. Step 3: Cross multiply
    377,083.78x = 520,385.88 × 205,013.33
  4. Step 4: Simplify right side
    377,083.78x = 106,686,042,262.10
  5. Step 5: Solve for x
    x = 106,686,042,262.10/377,083.78
  6. Step 6: Final answer
    x = 282,923.98

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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.