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Finding the Fourth Proportional to 664,825.64, 996,294.57 and 512,446.82

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Solution

The fourth proportional to 664,825.64, 996,294.57 and 512,446.82 is: 767,942.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,825.64 : 996,294.57 = 512,446.82 : x
  2. Step 2: Convert to fraction form
    664,825.64/996,294.57 = 512,446.82/x
  3. Step 3: Cross multiply
    664,825.64x = 996,294.57 × 512,446.82
  4. Step 4: Simplify right side
    664,825.64x = 510,547,979,198.30
  5. Step 5: Solve for x
    x = 510,547,979,198.30/664,825.64
  6. Step 6: Final answer
    x = 767,942.68

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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.