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Finding the Fourth Proportional to 454,901, 682,351.50 and 159,413

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Solution

The fourth proportional to 454,901, 682,351.50 and 159,413 is: 239,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,901 : 682,351.50 = 159,413 : x
  2. Step 2: Convert to fraction form
    454,901/682,351.50 = 159,413/x
  3. Step 3: Cross multiply
    454,901x = 682,351.50 × 159,413
  4. Step 4: Simplify right side
    454,901x = 108,775,699,669.50
  5. Step 5: Solve for x
    x = 108,775,699,669.50/454,901
  6. Step 6: Final answer
    x = 239,119.50

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Similar ratio
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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.