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Finding the Fourth Proportional to 664,282.29, 996,479.42 and 208,978.05

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Solution

The fourth proportional to 664,282.29, 996,479.42 and 208,978.05 is: 313,484.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,282.29 : 996,479.42 = 208,978.05 : x
  2. Step 2: Convert to fraction form
    664,282.29/996,479.42 = 208,978.05/x
  3. Step 3: Cross multiply
    664,282.29x = 996,479.42 × 208,978.05
  4. Step 4: Simplify right side
    664,282.29x = 208,242,325,011.84
  5. Step 5: Solve for x
    x = 208,242,325,011.84/664,282.29
  6. Step 6: Final answer
    x = 313,484.69

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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.