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Finding the Fourth Proportional to 375,572.30, 518,289.84 and 205,806.42

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Solution

The fourth proportional to 375,572.30, 518,289.84 and 205,806.42 is: 284,012.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,572.30 : 518,289.84 = 205,806.42 : x
  2. Step 2: Convert to fraction form
    375,572.30/518,289.84 = 205,806.42/x
  3. Step 3: Cross multiply
    375,572.30x = 518,289.84 × 205,806.42
  4. Step 4: Simplify right side
    375,572.30x = 106,667,376,492.77
  5. Step 5: Solve for x
    x = 106,667,376,492.77/375,572.30
  6. Step 6: Final answer
    x = 284,012.90

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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.