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Finding the Fourth Proportional to 377,087.84, 520,391.47 and 205,017.38

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Solution

The fourth proportional to 377,087.84, 520,391.47 and 205,017.38 is: 282,929.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,087.84 : 520,391.47 = 205,017.38 : x
  2. Step 2: Convert to fraction form
    377,087.84/520,391.47 = 205,017.38/x
  3. Step 3: Cross multiply
    377,087.84x = 520,391.47 × 205,017.38
  4. Step 4: Simplify right side
    377,087.84x = 106,689,294,975.12
  5. Step 5: Solve for x
    x = 106,689,294,975.12/377,087.84
  6. Step 6: Final answer
    x = 282,929.56

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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.