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Finding the Fourth Proportional to 377,892.96, 521,529.12 and 282,233.58

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Solution

The fourth proportional to 377,892.96, 521,529.12 and 282,233.58 is: 389,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,892.96 : 521,529.12 = 282,233.58 : x
  2. Step 2: Convert to fraction form
    377,892.96/521,529.12 = 282,233.58/x
  3. Step 3: Cross multiply
    377,892.96x = 521,529.12 × 282,233.58
  4. Step 4: Simplify right side
    377,892.96x = 147,193,030,611.85
  5. Step 5: Solve for x
    x = 147,193,030,611.85/377,892.96
  6. Step 6: Final answer
    x = 389,509.85

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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.