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Finding the Fourth Proportional to 664,281.54, 996,478.29 and 208,977.30

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Solution

The fourth proportional to 664,281.54, 996,478.29 and 208,977.30 is: 313,483.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,281.54 : 996,478.29 = 208,977.30 : x
  2. Step 2: Convert to fraction form
    664,281.54/996,478.29 = 208,977.30/x
  3. Step 3: Cross multiply
    664,281.54x = 996,478.29 × 208,977.30
  4. Step 4: Simplify right side
    664,281.54x = 208,241,342,552.82
  5. Step 5: Solve for x
    x = 208,241,342,552.82/664,281.54
  6. Step 6: Final answer
    x = 313,483.56

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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.