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Finding the Fourth Proportional to 782,952, 1,080,474.84 and 425,256

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Solution

The fourth proportional to 782,952, 1,080,474.84 and 425,256 is: 586,853.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,952 : 1,080,474.84 = 425,256 : x
  2. Step 2: Convert to fraction form
    782,952/1,080,474.84 = 425,256/x
  3. Step 3: Cross multiply
    782,952x = 1,080,474.84 × 425,256
  4. Step 4: Simplify right side
    782,952x = 459,478,408,559.04
  5. Step 5: Solve for x
    x = 459,478,408,559.04/782,952
  6. Step 6: Final answer
    x = 586,853.87

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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.