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Finding the Fourth Proportional to 654,208.96, 980,911.57 and 254,383.68

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Solution

The fourth proportional to 654,208.96, 980,911.57 and 254,383.68 is: 381,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,208.96 : 980,911.57 = 254,383.68 : x
  2. Step 2: Convert to fraction form
    654,208.96/980,911.57 = 254,383.68/x
  3. Step 3: Cross multiply
    654,208.96x = 980,911.57 × 254,383.68
  4. Step 4: Simplify right side
    654,208.96x = 249,527,892,932.98
  5. Step 5: Solve for x
    x = 249,527,892,932.98/654,208.96
  6. Step 6: Final answer
    x = 381,419.25

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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.