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Finding the Fourth Proportional to 436,022.46, 601,336.31 and 282,909.78

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Solution

The fourth proportional to 436,022.46, 601,336.31 and 282,909.78 is: 390,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,022.46 : 601,336.31 = 282,909.78 : x
  2. Step 2: Convert to fraction form
    436,022.46/601,336.31 = 282,909.78/x
  3. Step 3: Cross multiply
    436,022.46x = 601,336.31 × 282,909.78
  4. Step 4: Simplify right side
    436,022.46x = 170,123,921,753.56
  5. Step 5: Solve for x
    x = 170,123,921,753.56/436,022.46
  6. Step 6: Final answer
    x = 390,172.38

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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.