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Finding the Fourth Proportional to 782,970, 1,080,499.68 and 425,274

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Solution

The fourth proportional to 782,970, 1,080,499.68 and 425,274 is: 586,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,970 : 1,080,499.68 = 425,274 : x
  2. Step 2: Convert to fraction form
    782,970/1,080,499.68 = 425,274/x
  3. Step 3: Cross multiply
    782,970x = 1,080,499.68 × 425,274
  4. Step 4: Simplify right side
    782,970x = 459,508,420,912.32
  5. Step 5: Solve for x
    x = 459,508,420,912.32/782,970
  6. Step 6: Final answer
    x = 586,878.71

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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.