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Finding the Fourth Proportional to 398,315.58, 597,440.61 and 131,989.02

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Solution

The fourth proportional to 398,315.58, 597,440.61 and 131,989.02 is: 197,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,315.58 : 597,440.61 = 131,989.02 : x
  2. Step 2: Convert to fraction form
    398,315.58/597,440.61 = 131,989.02/x
  3. Step 3: Cross multiply
    398,315.58x = 597,440.61 × 131,989.02
  4. Step 4: Simplify right side
    398,315.58x = 78,855,600,622.10
  5. Step 5: Solve for x
    x = 78,855,600,622.10/398,315.58
  6. Step 6: Final answer
    x = 197,972.67

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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.