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Finding the Fourth Proportional to 782,982, 1,080,516.24 and 425,286

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Solution

The fourth proportional to 782,982, 1,080,516.24 and 425,286 is: 586,895.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,982 : 1,080,516.24 = 425,286 : x
  2. Step 2: Convert to fraction form
    782,982/1,080,516.24 = 425,286/x
  3. Step 3: Cross multiply
    782,982x = 1,080,516.24 × 425,286
  4. Step 4: Simplify right side
    782,982x = 459,528,429,644.64
  5. Step 5: Solve for x
    x = 459,528,429,644.64/782,982
  6. Step 6: Final answer
    x = 586,895.27

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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.