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Finding the Fourth Proportional to 384,672.68, 530,314.50 and 331,523.72

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Solution

The fourth proportional to 384,672.68, 530,314.50 and 331,523.72 is: 457,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,672.68 : 530,314.50 = 331,523.72 : x
  2. Step 2: Convert to fraction form
    384,672.68/530,314.50 = 331,523.72/x
  3. Step 3: Cross multiply
    384,672.68x = 530,314.50 × 331,523.72
  4. Step 4: Simplify right side
    384,672.68x = 175,811,835,809.94
  5. Step 5: Solve for x
    x = 175,811,835,809.94/384,672.68
  6. Step 6: Final answer
    x = 457,042.69

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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.