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Finding the Fourth Proportional to 377,082.63, 520,384.30 and 205,012.18

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Solution

The fourth proportional to 377,082.63, 520,384.30 and 205,012.18 is: 282,922.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,082.63 : 520,384.30 = 205,012.18 : x
  2. Step 2: Convert to fraction form
    377,082.63/520,384.30 = 205,012.18/x
  3. Step 3: Cross multiply
    377,082.63x = 520,384.30 × 205,012.18
  4. Step 4: Simplify right side
    377,082.63x = 106,685,117,178.85
  5. Step 5: Solve for x
    x = 106,685,117,178.85/377,082.63
  6. Step 6: Final answer
    x = 282,922.39

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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.