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Finding the Fourth Proportional to 331,378.80, 457,302.69 and 180,475.80

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Solution

The fourth proportional to 331,378.80, 457,302.69 and 180,475.80 is: 249,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,378.80 : 457,302.69 = 180,475.80 : x
  2. Step 2: Convert to fraction form
    331,378.80/457,302.69 = 180,475.80/x
  3. Step 3: Cross multiply
    331,378.80x = 457,302.69 × 180,475.80
  4. Step 4: Simplify right side
    331,378.80x = 82,532,068,819.90
  5. Step 5: Solve for x
    x = 82,532,068,819.90/331,378.80
  6. Step 6: Final answer
    x = 249,056.57

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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.