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Finding the Fourth Proportional to 509,429.20, 763,691.82 and 256,378.72

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Solution

The fourth proportional to 509,429.20, 763,691.82 and 256,378.72 is: 384,340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,429.20 : 763,691.82 = 256,378.72 : x
  2. Step 2: Convert to fraction form
    509,429.20/763,691.82 = 256,378.72/x
  3. Step 3: Cross multiply
    509,429.20x = 763,691.82 × 256,378.72
  4. Step 4: Simplify right side
    509,429.20x = 195,794,331,286.07
  5. Step 5: Solve for x
    x = 195,794,331,286.07/509,429.20
  6. Step 6: Final answer
    x = 384,340.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.