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Finding the Fourth Proportional to 499,813.92, 689,726 and 285,023.12

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Solution

The fourth proportional to 499,813.92, 689,726 and 285,023.12 is: 393,322.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,813.92 : 689,726 = 285,023.12 : x
  2. Step 2: Convert to fraction form
    499,813.92/689,726 = 285,023.12/x
  3. Step 3: Cross multiply
    499,813.92x = 689,726 × 285,023.12
  4. Step 4: Simplify right side
    499,813.92x = 196,587,856,465.12
  5. Step 5: Solve for x
    x = 196,587,856,465.12/499,813.92
  6. Step 6: Final answer
    x = 393,322.09

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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.