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Finding the Fourth Proportional to 398,451.48, 597,764.66 and 117,990.52

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Solution

The fourth proportional to 398,451.48, 597,764.66 and 117,990.52 is: 177,011.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,451.48 : 597,764.66 = 117,990.52 : x
  2. Step 2: Convert to fraction form
    398,451.48/597,764.66 = 117,990.52/x
  3. Step 3: Cross multiply
    398,451.48x = 597,764.66 × 117,990.52
  4. Step 4: Simplify right side
    398,451.48x = 70,530,563,071.02
  5. Step 5: Solve for x
    x = 70,530,563,071.02/398,451.48
  6. Step 6: Final answer
    x = 177,011.67

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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.