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Finding the Fourth Proportional to 782,903, 1,080,406.14 and 425,207

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Solution

The fourth proportional to 782,903, 1,080,406.14 and 425,207 is: 586,785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,903 : 1,080,406.14 = 425,207 : x
  2. Step 2: Convert to fraction form
    782,903/1,080,406.14 = 425,207/x
  3. Step 3: Cross multiply
    782,903x = 1,080,406.14 × 425,207
  4. Step 4: Simplify right side
    782,903x = 459,396,253,570.98
  5. Step 5: Solve for x
    x = 459,396,253,570.98/782,903
  6. Step 6: Final answer
    x = 586,785.66

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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.