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Finding the Fourth Proportional to 285,920.30, 394,562.40 and 165,057.50

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Solution

The fourth proportional to 285,920.30, 394,562.40 and 165,057.50 is: 227,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,920.30 : 394,562.40 = 165,057.50 : x
  2. Step 2: Convert to fraction form
    285,920.30/394,562.40 = 165,057.50/x
  3. Step 3: Cross multiply
    285,920.30x = 394,562.40 × 165,057.50
  4. Step 4: Simplify right side
    285,920.30x = 65,125,483,338.00
  5. Step 5: Solve for x
    x = 65,125,483,338.00/285,920.30
  6. Step 6: Final answer
    x = 227,774.95

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1.5x scale

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.