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Finding the Fourth Proportional to 377,115.42, 520,428.18 and 205,043.22

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Solution

The fourth proportional to 377,115.42, 520,428.18 and 205,043.22 is: 282,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,115.42 : 520,428.18 = 205,043.22 : x
  2. Step 2: Convert to fraction form
    377,115.42/520,428.18 = 205,043.22/x
  3. Step 3: Cross multiply
    377,115.42x = 520,428.18 × 205,043.22
  4. Step 4: Simplify right side
    377,115.42x = 106,710,269,805.94
  5. Step 5: Solve for x
    x = 106,710,269,805.94/377,115.42
  6. Step 6: Final answer
    x = 282,964.48

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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.